Question

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

Answer 1

Answer:

D. $\frac{3}{7}$

Step-by-step 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:

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

$\text{Odds of the event}=\frac{\frac{3}{10}}{1-\frac{3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{1*10}{10}-\frac{3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{10-3}{10}}$

$\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{7}{10}}$

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

$\text{Odds of the event}=\frac{3}{10}\times \frac{10}{7}$

$\text{Odds of the event}=\frac{3}{7}$

Therefore, the odds of the same event is $\frac{3}{7}$ and option D is the correct choice.