Question

Find the odds of an event occurring givent the problaity of the event 1/5

Answer 1

The given probability is 1/5.

We know that the odd is the ratio of the favorable outcomes to non-favorable outcomes.

Let P=1/5 be the probability of the event occurring

Then 1-P is the probability of the event not occurring

`1-P=1-(1)/(5)=(5)/(5)-(1)/(5)=(5-1)/(5)=(4)/(5)`

The probability of the event not occurring is 4/5

The ratio is

`((1)/(5))/((4)/(5))=(1)/(5)*(5)/(4)=(1)/(4)`

The odd of the given probability is

`1\colon4`