Question

Can someone explain this step by step for me? its from a review so ignore my wrong answer. Thank you!

Answer 1

Answer:

$P(\text{Male}|\text{Divorced})\approx0.092$

Step-by-step explanation:

$\displaystyle P(\text{Male}|\text{Divorced})=\frac{P(\text{Male and Divorced})}{P(\text{Male})}=\frac{\frac{9.6}{214.7}}{\frac{104.5}{214.7}}\approx0.092$

We can even break this down further by simply only looking at the total amount of males, and finding the proportion of males that are divorced, which is $\frac{9.6}{104.5}\approx0.092$, the same value.

Note that P(Male | Divorced) means the probability of choosing a male, given (|) that person is divorced.