Question

M and N are independent events. P(M | N) = 0.71. Find P(M)

Answer 1

Since M and N are independent events, $P(M)=P(M|N)=0.71$

Step-by-step explanation:

Two events A and B are said to be independent when the probability of A happening does not depend on whether B has happened or not.

In other word, this condition can be rewrite as follows:

$P(A|B)=P(A)$

where

$P(A|B)$ is the probability of A happening  given that B has happened

$P(A)$ is the probability of A happening

In this problem, we have:

- M and N are independent events: so M does not depend on whether N occurs or not

Therefore,

$P(M)=P(M|N)$

- Also, we know that

$P(M|N)=0.71$

Therefore, it follows that

$P(M)=0.71$

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