Question

Suppose 5 men and 7 women are on a crowded elevator. At the next floor, four people get off the elevator. Find the probability that exactly one woman left the elevator.
0.141


0.859


0.035


0.143

Answer 1

See https://web2.0calc.com/questions/i-need-help_24698.

Answer 2

Answer:

0.141

Step-by-step explanation:

There are ₇C₁ ways to choose 1 woman from 7.

There are ₅C₃ ways to choose 3 men from 5.

There are ₁₂C₄ ways to choose 4 people from 12.

So the probability is:

₇C₁ ₅C₃ / ₁₂C₄

7 × 10 / 495

0.141