8.2 Exercise 97

Probability The director of large company is interviewing applicants for two identical jobs. If $w =$ the number of women applicants and $m =$ the number of men applicants, then the probability that two women are selected for the jobs is $\frac{w}{w + m} \cdot \frac{w - 1}{w + m - 1} .$

1. ⓐ Simplify the probability by multiplying the two rational expressions.
2. ⓑ Find the probability that two women are selected when $w = 5$ and $m = 10$.