Question

If A and B are two independent events with P(A) = 1/3 and P(B) =1/4 , then
P(B' | A) is equal to
(A)1/4
(B)1/3
(C)3/4
(D)1​

Answer 1

Answer:

P(A intersection B) = P(A) * P(B) = 1/12

P(B' intersection A ) = P(A) - P(A intersection B) = 1/3 - 1/12 = 3/12 = 1/4

P(B' | A) = P(B' intersection A ) / P(A) = 1/4/1/3 = 3/4

Correct Option is (C). 3/4

Answer 2

Answer:

The answer is option (c) 3/4

Step-by-step explanation:

As per the data given in the question,

We have,

P(A) = 1/3

P(B) =1/4

P(B' | A) = ?

Now, Using the property P(B' | A) = 1 - P(B | A)

And, since they are independent events, so P(B | A) = P(B)

P(B' | A) = 1 - P(B)

$=1-\frac{1}{4} \\=\frac{4-1}{4} \\=\frac{3}{4}$

So, The answer is option (c) 3/4

#SPJ2