In a shop there are 45 customers, 14 of whom will make a purchase. If three customers are selected, one at a time, at random, what is the probability that all will make a purchase?
A) 0.0369
B) 0.1176
C) 0.1460
D) 0.0257

Question

Quizplus · Accepted Answer

The probability that the first customer makes a purchase is 14/45. If the first customer makes a purchase, the probability that the second customer also makes a purchase is 13/44. If the first two customers make a purchase, the probability that the third customer also makes a purchase is 12/43. Multiplying these probabilities gives (14/45) * (13/44) * (12/43) = 0.0257.

In a Shop There Are 45 Customers, 14 of Whom