Question

A and B are independent events.
p(A)=0.30
p(B)=0.60

what is p(A/B)

Answer 1

The literal meaning of Independent Events is the events which occur freely of each other.

What are independent events?

Statistically, An event A is said to be independent of another event B, if the conditional probability of A given B, i.e, P(A | B) is equal to the unconditional probability of A. P(B) ≠ 0.

P(A | B) = P(A)

For example, if we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail. In both cases, the occurrence of both events is independent of each other.

We know that,

P(A∩B)=P(B)P(A|B)

So let's find

P(A|B)=P(A∩B)P(B)

Now,

For two independent events,

we know that -

P(A∩B)=P(A)P(B)

So the expression we have with us to find P(A|B) becomes as follows,

P(A|B)=[P(A)P(B)]/P(B)

=P(A)

=0.3

Learn more about independent events at :

https://brainly.com/question/13488890?referrer=searchResults

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