Question

conditional probability and independent events

IF two fair dice are rolled(36 outcome sample space), find the probability of rolling the given

A Double, given that the sum was 9

Answer 1

all the possibilities of occuring given probability space of 36 are 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6. probability of the event sum=9 is a subset of this set. 4 events (3,6 4,5 5,4 6,3) are considered 4/36