A and B are two mutually exclusive and exhaustive events. If P(A)=17 find the value of 49 × P(B).
we are given the two events are mutually exclusive and exhaustive.
Mutually exclusive ⇒ P(A ∩ B) = 0
Exhaustive ⇒ P(A ∪ B) = 1
P(A ∪ B) = 1
⇒ P(A) + P(B) − P(A ∩ B) = 1
But P(A ∩ B) = 0
⇒ P(A) + P(B) = 1
⇒ P(B) = 1 − P(A)
=1 − 17
=67
⇒ Answer =49 × 67
=42