Question

If P(A) = (m/n) then P(A') is​

Answer 1

Answer:

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Answer 2

Given,

P(A) = (m/n)

To Find,

P(A') =?

Solution,

We can solve the question as follows:

It is given to us that the probability of an event A is equal to m/n. We have to find the probability of event A not happening i.e. A'.

$P(A) = \frac{m}{n}$

Now,

We know that the sum of an event A happening and not happening is always equal to 1.

$P(A) + P(A') = 1$

Then, the probability of event A not happening will be equal to 1 minus the probability of event A happening.

$P(A') = 1 - P(A)$

         $= 1 - \frac{m}{n}$

         $= \frac{n - m}{n}$

Hence, P(A') is equal to n-m/n.