Question

P(AUB)=0.75 P(A')=0.6 find P(B)​

Answer 1

Answer:

0.8

Step-by-step explanation:

Since we have given, P(A) = 0.75 and P(A|B) =0.8 .

So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .

We have given P(B|A') = 0.6

P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.

P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.

=> P(A|B) = P(A∩B)P(B)=0.60.75 = 0.8 .