Exploring Conditional Probability and the Multiplication Rule

Or

And

Given

Not

Count the number of people with blue eyes and wearing yellow and divide by the total number of people.

Count the number of people with blue eyes and subtract the number of people wearing yellow.

Count the number of people wearing yellow and divide by the total number of people.

Count the number of people with blue eyes and divide by the total number of people.

The probability of one event occurring given that another event has already occurred.

The probability of two events occurring simultaneously.

The probability of one event occurring without any conditions.

The probability of an event not occurring.

P(A and B) / P(B)

P(A) / P(B)

P(A or B) / P(B)

P(A and B) / P(A)

The probability of A or B

The probability of A and B

The probability of A given B

The probability of B given A

The probability of A and B is the product of the probability of A and the probability of B given A.

The probability of A or B is the sum of the probability of A and the probability of B.

The probability of A given B is the product of the probability of A and the probability of B.

The probability of A and B is the sum of the probability of A and the probability of B.

0.2

0.125

0.1

0.25

To determine the probability of a single event.

To find the probability of independent events.

To calculate the probability of mutually exclusive events.

To visualize and calculate conditional probabilities step by step.

0.78

0.63

0.57

0.22

0.25

0.5

0.1

0.003968