Question

A and B are independent events with P(A) = P(B)
and P(AUB) - 1/2. Find P(A)​

Answer 1

Answer:

Answer

P(A)=1/2,P(B)=p

P(AUB)=3/5

i) Mutually exclusive P(A∩B)=0

P(AUB)=P(A)+P(B)-P(A∩B)

3/5=1/2+p-0

p=1/10

ii)Independent events P(A∩B)=P(A)*P(B)=p/2

P(AUB)=P(A)+P(B)-P(A∩B)

3/5=1/2+p-p/2

p=1/5