A pair of dice is thrown. Find the probability of getting 7 as the sum, if it is known that the second die always exhibits an odd number.
We know total possible outcomes when two dice are thrown = 36
A= sum is 7
{(1,6),(2,5),(3,4),(4,3),(5,2),(6,1l} = 6
P(A) =
B =second die exhibit odd number
{(1,1),(1,3),(1,5),(2,1),(2,3),(2,5),(3,1),(3,3),(3,5),(4,1),(4,3),(4,5),(5,1),(5,3),(5,5),(6,1),(6,3),(6,5)}= 18
P(B) =
(A ∩ B) = sum of two number is 7 and also second die exhibit odd number
={(2,5),(4,3),(6,1)} =3
P(A ∩ B) =
Therefore, =
= (answer)