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

Question

asked Dec 17, 2019 8.1k views

1 Answer

Sweetfa · Answer 1 · 2019-12-21T18:08:05+0000

Answer:

D.

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
and option D is the correct choice.