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
[tex]P(M\; \text{and}\; N)=P(M)\times P(N)[/tex]Re-arranging for P(N), we get
[tex]P(N)=\frac{P(M\; \text{and}\; N)}{P(M)}[/tex]Where
P(M and N) = 0.158
P(M) = 0.23
[tex]P(N)=\frac{P(M\; \text{and}\; N)}{P(M)}=\frac{0.158}{0.23}=0.7[/tex]Therefore, the probability P(N) is 0.7
