Question

A warehouse employs 22 workers on first shift and 14 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Find the Probability of choosing:
A. All first-shift workers
B. All second-shift workers
C. Six first-shift workers
D. Four second-shift workers

Answer 1

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events. The numbers get smaller because there is no replacement.

A. 22/36 * 21/35 * 20/34 * 19/33 * 18/32 * 17/31 * 16/30 * 15/29 = ?

B. 14/36 * 13/35 ….

C. 22/36 * 21/35 * 20/34 * 19/33 * 18/32 * 17/31 * 14/30 * 13/29 = ?

D. 22/36 * 21/35 * 20/34 * 19/33 * 14/32 * 13/31 ….