Question

Events M and N are independent events.In this scenario, if P(M) = 0.23 and P(M and N) = 0.158, then P(N) = Round your answer to the nearest tenth.

Answer 1

Events M and N are independent events.

It means that the outcome of one event does not affect the outcome of the other event.

The probability of events M and N both occurring is given by

`P(M\; \text{and}\; N)=P(M)* P(N)`

Re-arranging for P(N), we get

`P(N)=\frac{P(M\; \text{and}\; N)}{P(M)}`

Where

P(M and N) = 0.158

P(M) = 0.23

`P(N)=\frac{P(M\; \text{and}\; N)}{P(M)}=(0.158)/(0.23)=0.7`

Therefore, the probability P(N) is 0.7