If A and B are two independent events such that P(B)=2/7, P(A cup B')=0.8, then P(A) is equal to...

Dylan Chandler

Dylan Chandler

Answered question

2023-03-06

If A and B are two independent events such that P(B)=27, P(AB')=0.8, then P(A) is equal to...

Answer & Explanation

phonelookup1l6x

phonelookup1l6x

Beginner2023-03-07Added 4 answers

P(AB')=P(A)+P(B')P(AB') …..(1)
Also, P(AB')=P(A)-P(AB)
P(AB')=P(A)+P(B')P(A)-P(AB)
P(AB')=P(A)+P(B')P(A)+P(AB)
P(AB')=P(B')+P(AB)
P(AB')=1-P(B)+P(A).P(B) ….(2) P(B')=1-P(B),P(AB)=P(A).P(B)
0.8=1-27+P(A).27
0.8=57+27×P(A)
5+2P(A)=5.6
2P(A)=0.6
P(A)=0.3

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?