Probability of Event A or B Occurring Calculator

Calculate Probability of Event A or B Occurring







Formula

The formula to calculate the Probability of Event A or B Occurring (P(A∪B)) is:

\[ P(A∪B) = P(A) + P(B) - P(A∩B) \]

Where:

Definition

The Probability of Occurrence of Event A or Event B is the likelihood that event A or B occur.

Probability of Event A is the likelihood that event A happens.

Probability of Event B is the likelihood that event B happens.

Probability of Occurrence of Event A and Event B is the likelihood that two events A and B happen together.

How to calculate the Probability of Event A or B Occurring

Let's assume the following values:

Using the formula:

\[ P(A∪B) = P(A) + P(B) - P(A∩B) \]

Evaluating:

\[ P(A∪B) = 0.5 + 0.2 - 0.1 \]

The Probability of Event A or B is 0.6.

Probability of Event A or B Occurring Conversion Chart

Probability of Event A Probability of Event B Probability of Event A and B Probability of Event A or B
0.1 0.1 0 0.200000000000000
0.1 0.1 0.1 0.100000000000000
0.1 0.1 0.2 0.000000000000000
0.1 0.1 0.3 -0.100000000000000
0.1 0.1 0.4 -0.200000000000000
0.1 0.1 0.5 -0.300000000000000
0.1 0.2 0 0.300000000000000
0.1 0.2 0.1 0.200000000000000
0.1 0.2 0.2 0.100000000000000
0.1 0.2 0.3 0.000000000000000
0.1 0.2 0.4 -0.100000000000000
0.1 0.2 0.5 -0.200000000000000
0.1 0.3 0 0.400000000000000
0.1 0.3 0.1 0.300000000000000
0.1 0.3 0.2 0.200000000000000
0.1 0.3 0.3 0.100000000000000
0.1 0.3 0.4 0.000000000000000
0.1 0.3 0.5 -0.100000000000000
0.1 0.4 0 0.500000000000000
0.1 0.4 0.1 0.400000000000000
0.1 0.4 0.2 0.300000000000000
0.1 0.4 0.3 0.200000000000000
0.1 0.4 0.4 0.100000000000000
0.1 0.4 0.5 0.000000000000000
0.1 0.5 0 0.600000000000000
0.1 0.5 0.1 0.500000000000000
0.1 0.5 0.2 0.400000000000000
0.1 0.5 0.3 0.300000000000000
0.1 0.5 0.4 0.200000000000000
0.1 0.5 0.5 0.100000000000000
0.1 0.6 0 0.700000000000000
0.1 0.6 0.1 0.600000000000000
0.1 0.6 0.2 0.500000000000000
0.1 0.6 0.3 0.400000000000000
0.1 0.6 0.4 0.300000000000000
0.1 0.6 0.5 0.200000000000000
0.1 0.7 0 0.800000000000000
0.1 0.7 0.1 0.700000000000000
0.1 0.7 0.2 0.600000000000000
0.1 0.7 0.3 0.500000000000000
0.1 0.7 0.4 0.400000000000000
0.1 0.7 0.5 0.300000000000000
0.1 0.8 0 0.900000000000000
0.1 0.8 0.1 0.800000000000000
0.1 0.8 0.2 0.700000000000000
0.1 0.8 0.3 0.600000000000000
0.1 0.8 0.4 0.500000000000000
0.1 0.8 0.5 0.400000000000000
0.1 0.9 0 1.000000000000000
0.1 0.9 0.1 0.900000000000000
0.1 0.9 0.2 0.800000000000000
0.1 0.9 0.3 0.700000000000000
0.1 0.9 0.4 0.600000000000000
0.1 0.9 0.5 0.500000000000000
0.1 1 0 1.100000000000000
0.1 1 0.1 1.000000000000000
0.1 1 0.2 0.900000000000000
0.1 1 0.3 0.800000000000000
0.1 1 0.4 0.700000000000000
0.1 1 0.5 0.600000000000000
0.2 0.1 0 0.300000000000000
0.2 0.1 0.1 0.200000000000000
0.2 0.1 0.2 0.100000000000000
0.2 0.1 0.3 0.000000000000000
0.2 0.1 0.4 -0.100000000000000
0.2 0.1 0.5 -0.200000000000000
0.2 0.2 0 0.400000000000000
0.2 0.2 0.1 0.300000000000000
0.2 0.2 0.2 0.200000000000000
0.2 0.2 0.3 0.100000000000000
0.2 0.2 0.4 0.000000000000000
0.2 0.2 0.5 -0.100000000000000
0.2 0.3 0 0.500000000000000
0.2 0.3 0.1 0.400000000000000
0.2 0.3 0.2 0.300000000000000
0.2 0.3 0.3 0.200000000000000
0.2 0.3 0.4 0.100000000000000
0.2 0.3 0.5 0.000000000000000
0.2 0.4 0 0.600000000000000
0.2 0.4 0.1 0.500000000000000
0.2 0.4 0.2 0.400000000000000
0.2 0.4 0.3 0.300000000000000
0.2 0.4 0.4 0.200000000000000
0.2 0.4 0.5 0.100000000000000
0.2 0.5 0 0.700000000000000
0.2 0.5 0.1 0.600000000000000
0.2 0.5 0.2 0.500000000000000
0.2 0.5 0.3 0.400000000000000
0.2 0.5 0.4 0.300000000000000
0.2 0.5 0.5 0.200000000000000
0.2 0.6 0 0.800000000000000
0.2 0.6 0.1 0.700000000000000
0.2 0.6 0.2 0.600000000000000
0.2 0.6 0.3 0.500000000000000
0.2 0.6 0.4 0.400000000000000
0.2 0.6 0.5 0.300000000000000
0.2 0.7 0 0.900000000000000
0.2 0.7 0.1 0.800000000000000
0.2 0.7 0.2 0.700000000000000
0.2 0.7 0.3 0.600000000000000
0.2 0.7 0.4 0.500000000000000
0.2 0.7 0.5 0.400000000000000
0.2 0.8 0 1.000000000000000
0.2 0.8 0.1 0.900000000000000
0.2 0.8 0.2 0.800000000000000
0.2 0.8 0.3 0.700000000000000
0.2 0.8 0.4 0.600000000000000
0.2 0.8 0.5 0.500000000000000
0.2 0.9 0 1.100000000000000
0.2 0.9 0.1 1.000000000000000
0.2 0.9 0.2 0.900000000000000
0.2 0.9 0.3 0.800000000000000
0.2 0.9 0.4 0.700000000000000
0.2 0.9 0.5 0.600000000000000
0.2 1 0 1.200000000000000
0.2 1 0.1 1.100000000000000
0.2 1 0.2 1.000000000000000
0.2 1 0.3 0.900000000000000
0.2 1 0.4 0.800000000000000
0.2 1 0.5 0.700000000000000
0.3 0.1 0 0.400000000000000
0.3 0.1 0.1 0.300000000000000
0.3 0.1 0.2 0.200000000000000
0.3 0.1 0.3 0.100000000000000
0.3 0.1 0.4 0.000000000000000
0.3 0.1 0.5 -0.100000000000000
0.3 0.2 0 0.500000000000000
0.3 0.2 0.1 0.400000000000000
0.3 0.2 0.2 0.300000000000000
0.3 0.2 0.3 0.200000000000000
0.3 0.2 0.4 0.100000000000000
0.3 0.2 0.5 0.000000000000000
0.3 0.3 0 0.600000000000000
0.3 0.3 0.1 0.500000000000000
0.3 0.3 0.2 0.400000000000000
0.3 0.3 0.3 0.300000000000000
0.3 0.3 0.4 0.200000000000000
0.3 0.3 0.5 0.100000000000000
0.3 0.4 0 0.700000000000000
0.3 0.4 0.1 0.600000000000000
0.3 0.4 0.2 0.500000000000000
0.3 0.4 0.3 0.400000000000000
0.3 0.4 0.4 0.300000000000000
0.3 0.4 0.5 0.200000000000000
0.3 0.5 0 0.800000000000000
0.3 0.5 0.1 0.700000000000000
0.3 0.5 0.2 0.600000000000000
0.3 0.5 0.3 0.500000000000000
0.3 0.5 0.4 0.400000000000000
0.3 0.5 0.5 0.300000000000000
0.3 0.6 0 0.900000000000000
0.3 0.6 0.1 0.800000000000000
0.3 0.6 0.2 0.700000000000000
0.3 0.6 0.3 0.600000000000000
0.3 0.6 0.4 0.500000000000000
0.3 0.6 0.5 0.400000000000000
0.3 0.7 0 1.000000000000000
0.3 0.7 0.1 0.900000000000000
0.3 0.7 0.2 0.800000000000000
0.3 0.7 0.3 0.700000000000000
0.3 0.7 0.4 0.600000000000000
0.3 0.7 0.5 0.500000000000000
0.3 0.8 0 1.100000000000000
0.3 0.8 0.1 1.000000000000000
0.3 0.8 0.2 0.900000000000000
0.3 0.8 0.3 0.800000000000000
0.3 0.8 0.4 0.700000000000000
0.3 0.8 0.5 0.600000000000000
0.3 0.9 0 1.200000000000000
0.3 0.9 0.1 1.100000000000000
0.3 0.9 0.2 1.000000000000000
0.3 0.9 0.3 0.900000000000000
0.3 0.9 0.4 0.800000000000000
0.3 0.9 0.5 0.700000000000000
0.3 1 0 1.300000000000000
0.3 1 0.1 1.200000000000000
0.3 1 0.2 1.100000000000000
0.3 1 0.3 1.000000000000000
0.3 1 0.4 0.900000000000000
0.3 1 0.5 0.800000000000000
0.4 0.1 0 0.500000000000000
0.4 0.1 0.1 0.400000000000000
0.4 0.1 0.2 0.300000000000000
0.4 0.1 0.3 0.200000000000000
0.4 0.1 0.4 0.100000000000000
0.4 0.1 0.5 0.000000000000000
0.4 0.2 0 0.600000000000000
0.4 0.2 0.1 0.500000000000000
0.4 0.2 0.2 0.400000000000000
0.4 0.2 0.3 0.300000000000000
0.4 0.2 0.4 0.200000000000000
0.4 0.2 0.5 0.100000000000000
0.4 0.3 0 0.700000000000000
0.4 0.3 0.1 0.600000000000000
0.4 0.3 0.2 0.500000000000000
0.4 0.3 0.3 0.400000000000000
0.4 0.3 0.4 0.300000000000000
0.4 0.3 0.5 0.200000000000000
0.4 0.4 0 0.800000000000000
0.4 0.4 0.1 0.700000000000000
0.4 0.4 0.2 0.600000000000000
0.4 0.4 0.3 0.500000000000000
0.4 0.4 0.4 0.400000000000000
0.4 0.4 0.5 0.300000000000000
0.4 0.5 0 0.900000000000000
0.4 0.5 0.1 0.800000000000000
0.4 0.5 0.2 0.700000000000000
0.4 0.5 0.3 0.600000000000000
0.4 0.5 0.4 0.500000000000000
0.4 0.5 0.5 0.400000000000000
0.4 0.6 0 1.000000000000000
0.4 0.6 0.1 0.900000000000000
0.4 0.6 0.2 0.800000000000000
0.4 0.6 0.3 0.700000000000000
0.4 0.6 0.4 0.600000000000000
0.4 0.6 0.5 0.500000000000000
0.4 0.7 0 1.100000000000000
0.4 0.7 0.1 1.000000000000000
0.4 0.7 0.2 0.900000000000000
0.4 0.7 0.3 0.800000000000000
0.4 0.7 0.4 0.700000000000000
0.4 0.7 0.5 0.600000000000000
0.4 0.8 0 1.200000000000000
0.4 0.8 0.1 1.100000000000000
0.4 0.8 0.2 1.000000000000000
0.4 0.8 0.3 0.900000000000000
0.4 0.8 0.4 0.800000000000000
0.4 0.8 0.5 0.700000000000000
0.4 0.9 0 1.300000000000000
0.4 0.9 0.1 1.200000000000000
0.4 0.9 0.2 1.100000000000000
0.4 0.9 0.3 1.000000000000000
0.4 0.9 0.4 0.900000000000000
0.4 0.9 0.5 0.800000000000000
0.4 1 0 1.400000000000000
0.4 1 0.1 1.300000000000000
0.4 1 0.2 1.200000000000000
0.4 1 0.3 1.100000000000000
0.4 1 0.4 1.000000000000000
0.4 1 0.5 0.900000000000000
0.5 0.1 0 0.600000000000000
0.5 0.1 0.1 0.500000000000000
0.5 0.1 0.2 0.400000000000000
0.5 0.1 0.3 0.300000000000000
0.5 0.1 0.4 0.200000000000000
0.5 0.1 0.5 0.100000000000000
0.5 0.2 0 0.700000000000000
0.5 0.2 0.1 0.600000000000000
0.5 0.2 0.2 0.500000000000000
0.5 0.2 0.3 0.400000000000000
0.5 0.2 0.4 0.300000000000000
0.5 0.2 0.5 0.200000000000000
0.5 0.3 0 0.800000000000000
0.5 0.3 0.1 0.700000000000000
0.5 0.3 0.2 0.600000000000000
0.5 0.3 0.3 0.500000000000000
0.5 0.3 0.4 0.400000000000000
0.5 0.3 0.5 0.300000000000000
0.5 0.4 0 0.900000000000000
0.5 0.4 0.1 0.800000000000000
0.5 0.4 0.2 0.700000000000000
0.5 0.4 0.3 0.600000000000000
0.5 0.4 0.4 0.500000000000000
0.5 0.4 0.5 0.400000000000000
0.5 0.5 0 1.000000000000000
0.5 0.5 0.1 0.900000000000000
0.5 0.5 0.2 0.800000000000000
0.5 0.5 0.3 0.700000000000000
0.5 0.5 0.4 0.600000000000000
0.5 0.5 0.5 0.500000000000000
0.5 0.6 0 1.100000000000000
0.5 0.6 0.1 1.000000000000000
0.5 0.6 0.2 0.900000000000000
0.5 0.6 0.3 0.800000000000000
0.5 0.6 0.4 0.700000000000000
0.5 0.6 0.5 0.600000000000000
0.5 0.7 0 1.200000000000000
0.5 0.7 0.1 1.100000000000000
0.5 0.7 0.2 1.000000000000000
0.5 0.7 0.3 0.900000000000000
0.5 0.7 0.4 0.800000000000000
0.5 0.7 0.5 0.700000000000000
0.5 0.8 0 1.300000000000000
0.5 0.8 0.1 1.200000000000000
0.5 0.8 0.2 1.100000000000000
0.5 0.8 0.3 1.000000000000000
0.5 0.8 0.4 0.900000000000000
0.5 0.8 0.5 0.800000000000000
0.5 0.9 0 1.400000000000000
0.5 0.9 0.1 1.300000000000000
0.5 0.9 0.2 1.200000000000000
0.5 0.9 0.3 1.100000000000000
0.5 0.9 0.4 1.000000000000000
0.5 0.9 0.5 0.900000000000000
0.5 1 0 1.500000000000000
0.5 1 0.1 1.400000000000000
0.5 1 0.2 1.300000000000000
0.5 1 0.3 1.200000000000000
0.5 1 0.4 1.100000000000000
0.5 1 0.5 1.000000000000000
0.6 0.1 0 0.700000000000000
0.6 0.1 0.1 0.600000000000000
0.6 0.1 0.2 0.500000000000000
0.6 0.1 0.3 0.400000000000000
0.6 0.1 0.4 0.300000000000000
0.6 0.1 0.5 0.200000000000000
0.6 0.2 0 0.800000000000000
0.6 0.2 0.1 0.700000000000000
0.6 0.2 0.2 0.600000000000000
0.6 0.2 0.3 0.500000000000000
0.6 0.2 0.4 0.400000000000000
0.6 0.2 0.5 0.300000000000000
0.6 0.3 0 0.900000000000000
0.6 0.3 0.1 0.800000000000000
0.6 0.3 0.2 0.700000000000000
0.6 0.3 0.3 0.600000000000000
0.6 0.3 0.4 0.500000000000000
0.6 0.3 0.5 0.400000000000000
0.6 0.4 0 1.000000000000000
0.6 0.4 0.1 0.900000000000000
0.6 0.4 0.2 0.800000000000000
0.6 0.4 0.3 0.700000000000000
0.6 0.4 0.4 0.600000000000000
0.6 0.4 0.5 0.500000000000000
0.6 0.5 0 1.100000000000000
0.6 0.5 0.1 1.000000000000000
0.6 0.5 0.2 0.900000000000000
0.6 0.5 0.3 0.800000000000000
0.6 0.5 0.4 0.700000000000000
0.6 0.5 0.5 0.600000000000000
0.6 0.6 0 1.200000000000000
0.6 0.6 0.1 1.100000000000000
0.6 0.6 0.2 1.000000000000000
0.6 0.6 0.3 0.900000000000000
0.6 0.6 0.4 0.800000000000000
0.6 0.6 0.5 0.700000000000000
0.6 0.7 0 1.300000000000000
0.6 0.7 0.1 1.200000000000000
0.6 0.7 0.2 1.100000000000000
0.6 0.7 0.3 1.000000000000000
0.6 0.7 0.4 0.900000000000000
0.6 0.7 0.5 0.800000000000000
0.6 0.8 0 1.400000000000000
0.6 0.8 0.1 1.300000000000000
0.6 0.8 0.2 1.200000000000000
0.6 0.8 0.3 1.100000000000000
0.6 0.8 0.4 1.000000000000000
0.6 0.8 0.5 0.900000000000000
0.6 0.9 0 1.500000000000000
0.6 0.9 0.1 1.400000000000000
0.6 0.9 0.2 1.300000000000000
0.6 0.9 0.3 1.200000000000000
0.6 0.9 0.4 1.100000000000000
0.6 0.9 0.5 1.000000000000000
0.6 1 0 1.600000000000000
0.6 1 0.1 1.500000000000000
0.6 1 0.2 1.400000000000000
0.6 1 0.3 1.300000000000000
0.6 1 0.4 1.200000000000000
0.6 1 0.5 1.100000000000000
0.7 0.1 0 0.800000000000000
0.7 0.1 0.1 0.700000000000000
0.7 0.1 0.2 0.600000000000000
0.7 0.1 0.3 0.500000000000000
0.7 0.1 0.4 0.400000000000000
0.7 0.1 0.5 0.300000000000000
0.7 0.2 0 0.900000000000000
0.7 0.2 0.1 0.800000000000000
0.7 0.2 0.2 0.700000000000000
0.7 0.2 0.3 0.600000000000000
0.7 0.2 0.4 0.500000000000000
0.7 0.2 0.5 0.400000000000000
0.7 0.3 0 1.000000000000000
0.7 0.3 0.1 0.900000000000000
0.7 0.3 0.2 0.800000000000000
0.7 0.3 0.3 0.700000000000000
0.7 0.3 0.4 0.600000000000000
0.7 0.3 0.5 0.500000000000000
0.7 0.4 0 1.100000000000000
0.7 0.4 0.1 1.000000000000000
0.7 0.4 0.2 0.900000000000000
0.7 0.4 0.3 0.800000000000000
0.7 0.4 0.4 0.700000000000000
0.7 0.4 0.5 0.600000000000000
0.7 0.5 0 1.200000000000000
0.7 0.5 0.1 1.100000000000000
0.7 0.5 0.2 1.000000000000000
0.7 0.5 0.3 0.900000000000000
0.7 0.5 0.4 0.800000000000000
0.7 0.5 0.5 0.700000000000000
0.7 0.6 0 1.300000000000000
0.7 0.6 0.1 1.200000000000000
0.7 0.6 0.2 1.100000000000000
0.7 0.6 0.3 1.000000000000000
0.7 0.6 0.4 0.900000000000000
0.7 0.6 0.5 0.800000000000000
0.7 0.7 0 1.400000000000000
0.7 0.7 0.1 1.300000000000000
0.7 0.7 0.2 1.200000000000000
0.7 0.7 0.3 1.100000000000000
0.7 0.7 0.4 1.000000000000000
0.7 0.7 0.5 0.900000000000000
0.7 0.8 0 1.500000000000000
0.7 0.8 0.1 1.400000000000000
0.7 0.8 0.2 1.300000000000000
0.7 0.8 0.3 1.200000000000000
0.7 0.8 0.4 1.100000000000000
0.7 0.8 0.5 1.000000000000000
0.7 0.9 0 1.600000000000000
0.7 0.9 0.1 1.500000000000000
0.7 0.9 0.2 1.400000000000000
0.7 0.9 0.3 1.300000000000000
0.7 0.9 0.4 1.200000000000000
0.7 0.9 0.5 1.100000000000000
0.7 1 0 1.700000000000000
0.7 1 0.1 1.600000000000000
0.7 1 0.2 1.500000000000000
0.7 1 0.3 1.400000000000000
0.7 1 0.4 1.300000000000000
0.7 1 0.5 1.200000000000000
0.8 0.1 0 0.900000000000000
0.8 0.1 0.1 0.800000000000000
0.8 0.1 0.2 0.700000000000000
0.8 0.1 0.3 0.600000000000000
0.8 0.1 0.4 0.500000000000000
0.8 0.1 0.5 0.400000000000000
0.8 0.2 0 1.000000000000000
0.8 0.2 0.1 0.900000000000000
0.8 0.2 0.2 0.800000000000000
0.8 0.2 0.3 0.700000000000000
0.8 0.2 0.4 0.600000000000000
0.8 0.2 0.5 0.500000000000000
0.8 0.3 0 1.100000000000000
0.8 0.3 0.1 1.000000000000000
0.8 0.3 0.2 0.900000000000000
0.8 0.3 0.3 0.800000000000000
0.8 0.3 0.4 0.700000000000000
0.8 0.3 0.5 0.600000000000000
0.8 0.4 0 1.200000000000000
0.8 0.4 0.1 1.100000000000000
0.8 0.4 0.2 1.000000000000000
0.8 0.4 0.3 0.900000000000000
0.8 0.4 0.4 0.800000000000000
0.8 0.4 0.5 0.700000000000000
0.8 0.5 0 1.300000000000000
0.8 0.5 0.1 1.200000000000000
0.8 0.5 0.2 1.100000000000000
0.8 0.5 0.3 1.000000000000000
0.8 0.5 0.4 0.900000000000000
0.8 0.5 0.5 0.800000000000000
0.8 0.6 0 1.400000000000000
0.8 0.6 0.1 1.300000000000000
0.8 0.6 0.2 1.200000000000000
0.8 0.6 0.3 1.100000000000000
0.8 0.6 0.4 1.000000000000000
0.8 0.6 0.5 0.900000000000000
0.8 0.7 0 1.500000000000000
0.8 0.7 0.1 1.400000000000000
0.8 0.7 0.2 1.300000000000000
0.8 0.7 0.3 1.200000000000000
0.8 0.7 0.4 1.100000000000000
0.8 0.7 0.5 1.000000000000000
0.8 0.8 0 1.600000000000000
0.8 0.8 0.1 1.500000000000000
0.8 0.8 0.2 1.400000000000000
0.8 0.8 0.3 1.300000000000000
0.8 0.8 0.4 1.200000000000000
0.8 0.8 0.5 1.100000000000000
0.8 0.9 0 1.700000000000000
0.8 0.9 0.1 1.600000000000000
0.8 0.9 0.2 1.500000000000000
0.8 0.9 0.3 1.400000000000000
0.8 0.9 0.4 1.300000000000000
0.8 0.9 0.5 1.200000000000000
0.8 1 0 1.800000000000000
0.8 1 0.1 1.700000000000000
0.8 1 0.2 1.600000000000000
0.8 1 0.3 1.500000000000000
0.8 1 0.4 1.400000000000000
0.8 1 0.5 1.300000000000000
0.9 0.1 0 1.000000000000000
0.9 0.1 0.1 0.900000000000000
0.9 0.1 0.2 0.800000000000000
0.9 0.1 0.3 0.700000000000000
0.9 0.1 0.4 0.600000000000000
0.9 0.1 0.5 0.500000000000000
0.9 0.2 0 1.100000000000000
0.9 0.2 0.1 1.000000000000000
0.9 0.2 0.2 0.900000000000000
0.9 0.2 0.3 0.800000000000000
0.9 0.2 0.4 0.700000000000000
0.9 0.2 0.5 0.600000000000000
0.9 0.3 0 1.200000000000000
0.9 0.3 0.1 1.100000000000000
0.9 0.3 0.2 1.000000000000000
0.9 0.3 0.3 0.900000000000000
0.9 0.3 0.4 0.800000000000000
0.9 0.3 0.5 0.700000000000000
0.9 0.4 0 1.300000000000000
0.9 0.4 0.1 1.200000000000000
0.9 0.4 0.2 1.100000000000000
0.9 0.4 0.3 1.000000000000000
0.9 0.4 0.4 0.900000000000000
0.9 0.4 0.5 0.800000000000000
0.9 0.5 0 1.400000000000000
0.9 0.5 0.1 1.300000000000000
0.9 0.5 0.2 1.200000000000000
0.9 0.5 0.3 1.100000000000000
0.9 0.5 0.4 1.000000000000000
0.9 0.5 0.5 0.900000000000000
0.9 0.6 0 1.500000000000000
0.9 0.6 0.1 1.400000000000000
0.9 0.6 0.2 1.300000000000000
0.9 0.6 0.3 1.200000000000000
0.9 0.6 0.4 1.100000000000000
0.9 0.6 0.5 1.000000000000000
0.9 0.7 0 1.600000000000000
0.9 0.7 0.1 1.500000000000000
0.9 0.7 0.2 1.400000000000000
0.9 0.7 0.3 1.300000000000000
0.9 0.7 0.4 1.200000000000000
0.9 0.7 0.5 1.100000000000000
0.9 0.8 0 1.700000000000000
0.9 0.8 0.1 1.600000000000000
0.9 0.8 0.2 1.500000000000000
0.9 0.8 0.3 1.400000000000000
0.9 0.8 0.4 1.300000000000000
0.9 0.8 0.5 1.200000000000000
0.9 0.9 0 1.800000000000000
0.9 0.9 0.1 1.700000000000000
0.9 0.9 0.2 1.600000000000000
0.9 0.9 0.3 1.500000000000000
0.9 0.9 0.4 1.400000000000000
0.9 0.9 0.5 1.300000000000000
0.9 1 0 1.900000000000000
0.9 1 0.1 1.800000000000000
0.9 1 0.2 1.700000000000000
0.9 1 0.3 1.600000000000000
0.9 1 0.4 1.500000000000000
0.9 1 0.5 1.400000000000000
1 0.1 0 1.100000000000000
1 0.1 0.1 1.000000000000000
1 0.1 0.2 0.900000000000000
1 0.1 0.3 0.800000000000000
1 0.1 0.4 0.700000000000000
1 0.1 0.5 0.600000000000000
1 0.2 0 1.200000000000000
1 0.2 0.1 1.100000000000000
1 0.2 0.2 1.000000000000000
1 0.2 0.3 0.900000000000000
1 0.2 0.4 0.800000000000000
1 0.2 0.5 0.700000000000000
1 0.3 0 1.300000000000000
1 0.3 0.1 1.200000000000000
1 0.3 0.2 1.100000000000000
1 0.3 0.3 1.000000000000000
1 0.3 0.4 0.900000000000000
1 0.3 0.5 0.800000000000000
1 0.4 0 1.400000000000000
1 0.4 0.1 1.300000000000000
1 0.4 0.2 1.200000000000000
1 0.4 0.3 1.100000000000000
1 0.4 0.4 1.000000000000000
1 0.4 0.5 0.900000000000000
1 0.5 0 1.500000000000000
1 0.5 0.1 1.400000000000000
1 0.5 0.2 1.300000000000000
1 0.5 0.3 1.200000000000000
1 0.5 0.4 1.100000000000000
1 0.5 0.5 1.000000000000000
1 0.6 0 1.600000000000000
1 0.6 0.1 1.500000000000000
1 0.6 0.2 1.400000000000000
1 0.6 0.3 1.300000000000000
1 0.6 0.4 1.200000000000000
1 0.6 0.5 1.100000000000000
1 0.7 0 1.700000000000000
1 0.7 0.1 1.600000000000000
1 0.7 0.2 1.500000000000000
1 0.7 0.3 1.400000000000000
1 0.7 0.4 1.300000000000000
1 0.7 0.5 1.200000000000000
1 0.8 0 1.800000000000000
1 0.8 0.1 1.700000000000000
1 0.8 0.2 1.600000000000000
1 0.8 0.3 1.500000000000000
1 0.8 0.4 1.400000000000000
1 0.8 0.5 1.300000000000000
1 0.9 0 1.900000000000000
1 0.9 0.1 1.800000000000000
1 0.9 0.2 1.700000000000000
1 0.9 0.3 1.600000000000000
1 0.9 0.4 1.500000000000000
1 0.9 0.5 1.400000000000000
1 1 0 2.000000000000000
1 1 0.1 1.900000000000000
1 1 0.2 1.800000000000000
1 1 0.3 1.700000000000000
1 1 0.4 1.600000000000000
1 1 0.5 1.500000000000000
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