Answer: Hello mate!
Two independent events, mean that the fact that, if the event A occurred, this has no effect in the probability of the event B to occur after.
For example, a coin flip.
The first result has no effect on the next result.
Then the notation P(A/B) is the probability of the event A when the event B occurred before, but as we know, the fact that the event B occurred before has no effect in it; so:
P(A/B) = P(A) = 0.30
The value of P(A/B) is 0.40 .
In probability theory, conditional probability is a measure of the probability of an event occurring, given that another event has already occurred. In conditional probability, we always deal with two or more mutually exclusive events.
We have to find the value of conditional probability, P(A/B) given that both A and B are independent events.
Also value of P(A) is 0.40 and that of P(B) is 0.30.
P(A/B) means that the probability that A will occur given that B has already occurred.
As both the events are independent, therefore when A will occur, it will have no relationship with event B.
∴ P(A/B) = P(A) = 0.40
Thus the value of P(A/B) is 0.40 .
To learn more about conditional probability, refer -
https://brainly.com/question/11896081
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