Question

The probability of an event is 3/10 . What are the odds of the same event?

Choices:
10/13
3/13
7/10
3/7

Please explain your answer if possible. Thanks

Answer 1

D.
`(3)/(7)`

Explanation:

We have been given that the probability of an event is 3/10.

To find the odds of the same event we will use formula:

`\text{Odds of an event}=\frac{\text{Probability of the event}}{\text{1-Probability of the event}}`

`\text{Odds of the event}=((3)/(10))/(1-(3)/(10))`

`\text{Odds of the event}=((3)/(10))/((1*10)/(10)-(3)/(10))`

`\text{Odds of the event}=((3)/(10))/((10-3)/(10))`

`\text{Odds of the event}=((3)/(10))/((7)/(10))`

Dividing a fraction with another fraction is same as multiplying the 1st fraction by the reciprocal of second fraction.

`\text{Odds of the event}=(3)/(10)* (10)/(7)`

`\text{Odds of the event}=(3)/(7)`

Therefore, the odds of the same event is
`(3)/(7)` and option D is the correct choice.