Answer:
D. [tex]\frac{3}{7}[/tex]
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:
[tex]\text{Odds of an event}=\frac{\text{Probability of the event}}{\text{1-Probability of the event}}[/tex]
[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{1-\frac{3}{10}}[/tex]
[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{1*10}{10}-\frac{3}{10}}[/tex]
[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{10-3}{10}}[/tex]
[tex]\text{Odds of the event}=\frac{\frac{3}{10}}{\frac{7}{10}}[/tex]
Dividing a fraction with another fraction is same as multiplying the 1st fraction by the reciprocal of second fraction.
[tex]\text{Odds of the event}=\frac{3}{10}\times \frac{10}{7}[/tex]
[tex]\text{Odds of the event}=\frac{3}{7}[/tex]
Therefore, the odds of the same event is [tex]\frac{3}{7}[/tex] and option D is the correct choice.
