Let A and B be the events such that
and

Find

(i) P(A / B)

(ii) P(B / A)

(iii) P(A ∪ B)

(iv)

Question

Let A and B be the events such that and Find (i) P(A / B) (ii) P(B / A) (iii) P(A ∪ B) (iv)

Philoid · Accepted Answer

Given - A and B be the events such that and

To find – (i) (ii) (iii) (iv)

Formula to be used – By conditional probability, where is the probability of occurrence of the event A given that B has already occurred.

(i)

(ii)

(iii)

(iv)

Now, by De-Morgan’s Law,

Let A and B be the events such that and Find(i) P(A / B)(ii) P(B / A)(iii) P(A ∪ B)(iv)