Let A and B be two events such that
A= getting number 2 at least once
B = getting 7 as the sum of the numbers on two dice
Here,
A= {(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (1,2), (3,2), (4,2), (5,2), (6,2)} and
B = {(2,5), (5,2), (6,1), (1,6), (3,4), (4,3)}
∴ P (A) =
, P (B) =
P (A ∩ B) =
∴ Required probability
P (A/B) =
=
=
=