Question

If odds against an event be 7 : 9, find the probability of non-occurrence of this event.

Answer 1

Since odd against an event is 7 : 9

$\therefore$ n(S) = 7K + 9K = 16K
Let E be the event that the event will occur and
n(E) =9K

$\therefore P\left(E\right)=\frac{9}{16}$

$\therefore$ Probability of non-occurance of the event
is

$P\left(\overline{E}\right)=1-P\left(E\right)=1-\frac{9}{16}=\frac{7}{16}$