Question

Determine each probablity. Assume events A and B are independent .

Answer 1

P(B|A) = 1/5

P(A∩B) = 1/12

P(B) = 4/7

P(A) = 3/5

Explanation:

P(A)=2/3 ; P(B)=1/5 . If A and B are independent , find P(B|A)= .

Since A and B are independent, we have:

P(B|A) = P(B)

So, P(B|A) = 1/5

P(A)=1/8 ; P(B)=2/3 . If A and B are independent , find P(A∩B)= .

Since A and B are independent, we have:

P(A∩B) = P(A) x P(B)

So, P(A∩B) = (1/8) x (2/3) = 1/12

P(B|A)=4/7 ; P(A)= 2/9 If A and B are independent, find P(B)= .

Since A and B are independent, we have:

P(B|A) = P(B)

From the given information, we have:

P(B|A) = 4/7 and P(A) = 2/9

So, 4/7 = P(B)

Therefore, P(B) = 4/7

P(A∩B)=9/35 ; P(B)=3/7, If A and B are independent, find P(A)= .

Since A and B are independent, we have:

P(A∩B) = P(A) x P(B)

From the given information, we have:

P(A∩B) = 9/35 and P(B) = 3/7

So, P(A) = P(A∩B) / P(B) = (9/35) / (3/7) = 3/5