Question

the p(a) = $\frac{3}{5}$. find the odds of winning an a.

a. 3:5
b. 5:2
c. 3:2
d. 2:3

Explanation:

Step1: Recall odds formula

Odds of an event $A$ is given by $\frac{P(A)}{1 - P(A)}$.

Step2: Calculate $1 - P(A)$

Given $P(A)=\frac{3}{5}$, then $1 - P(A)=1-\frac{3}{5}=\frac{5 - 3}{5}=\frac{2}{5}$.

Step3: Calculate the odds

$\frac{P(A)}{1 - P(A)}=\frac{\frac{3}{5}}{\frac{2}{5}}=\frac{3}{2}$, so the odds are $3:2$.

Answer:

C. 3:2