Question

If P(A) = 2 3 , P(B) = 3 8 and P ( ∩ ) = 1 4 , then the events A and B are: a) Independent and mutually exclusive b) Independent and not mutually exclusive c) Mutually exclusive but not independent d) Neither mutually exclusive nor independent​

Answer 1

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

Step-by-step explanation: