Question

Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting a​ four-person committee consisting entirely of women from a pool of 18 men and 15 women The event of selecting a woman and the event of selecting a woman the next time are dependent. The probability of randomly selecting a​ four-person committee consisting entirely of women from a pool of 18 men and 15 women is nothing. ​(Round to four decimal places as​ needed.)

Answer 1

The events of selecting a woman and then selecting a woman again are dependent. The probability of randomly selecting a four-person committee consisting entirely of women from a pool of 18 men and 15 women is 0.1591.

Step-by-step explanation:

The events of selecting a woman and then selecting a woman again are dependent events. This means that the outcome of the first event affects the probability of the second event. When selecting the first woman, there are 15 women out of a total of 33 people in the pool.

After selecting the first woman, there are 14 women left out of 32 people. Therefore, the probability of selecting a woman and then selecting a woman again is:

(15/33) * (14/32) = 0.1591