A pair of dice is thrown. Find the probability of getting the sum 8 or more, if 4 appears on the first die.
We know, when a pair of dice is thrown, total possible outcomes are = 36
A=No of outcomes for getting sum of 8 or more are
{(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)} = 15
Therefore, P(A) =
B= No of outcomes for first die showing 4 =
{(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)} = 6
Hence P(B) =
(A B) = outcomes of getting sum as 8 or more with a first die showing 4
= {(4,4),(4,5),(4,6)} = 3
Hence P(A B) =
Therefore, =
(answer)