Question
A coin is tossed and then a die is rolled. Find the probability of getting a 5 on the die given that the coin landed tails up.
Answers
Reiny
This is an example of conditional probability
P(A│B) read: the probabiltiy of B, given A
= P(A and B)/P(B)
P(A and B) = (1/6)(1/2) = 1/12
P(B) = 1/2
so P(A│B) = (1/12)/(1/2) = 1/6
P(A│B) read: the probabiltiy of B, given A
= P(A and B)/P(B)
P(A and B) = (1/6)(1/2) = 1/12
P(B) = 1/2
so P(A│B) = (1/12)/(1/2) = 1/6