Question

A pair of dice is rolled.Find the conditional probability of getting a sum of 8 given that the atleast 7?

Answer 1

Answer:

Sample space for total number of possible outcomes

{(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)}

Total number of outcomes = 36

Favorable outcomes for sum of 8 or getting an even number on both the dices are

(2,6),(3,5),(4,4),(5,3),(6,2),(2,2),(2,4),(4,2),(4,6),(6,4),(6,6