Question

If the probability of A is 0.5 and the probability of B is 0.2 and the probability of the union of A and B is 0.7, then event A & event B are _____________.​

Answer 1

Answer:

hey

Step-by-step explanation:

P(A)=0.5 and P(AB)=0.8

When A and B are independent events,

P(A∩B)=P(A)×P(B)

⇒P(A)+P(B)−P(A∪B)=0.5×q

⇒0.5+q−0.8=0.5q

⇒0.5q=0.3

⇒q=0.6

When A and B are mutually exclusive events

P(A∩B)=0

P(A)+P(B)=P(A∪B)

0.5+p=0.8

⇒p=0.3

Hence the ratio of q and p is 2