p(a|b) = 0.75 if a and b be two independent events and p(a) = .25.
According to the given question.
a and p are two independent events.
Then,
p(a) + p(b) = 1
Also, p(a) = 0.25
⇒ p(b) = 1 - 0.25
⇒ p(b) = 0.75
By using fundamental definition
The conditional probability of event B given event A is P(A|B)= p(B), when two events are independent.
Therefore,
p(a|b) = p(b)
⇒ p(a|b) = 0.75
Hence, p(a|b) = 0.75 if a and b be two independent events and p(a) = .25.
Find out more information about independent events here:
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