Solve the problem.
-Suppose you receive a shipment of 16 calculators, two of which are defective. What is the probability of picking a sample of 5 calculators with exactly one bad calculator in it? (Round approximations to the nearest
Thousandth.)
A) 0.458
B) 0.092
C) 0.046
D) 0.229

Question

Quizplus · Accepted Answer

The probability of picking exactly one defective calculator out of a sample of 5 from the 16 calculators, with 2 being defective, can be calculated using combinations. The number of ways to choose 1 defective calculator out of 2 is $C(2,1)$, and the number of ways to choose 4 non-defective calculators out of 14 is $C(14,4)$. The total number of ways to choose any 5 calculators out of 16 is $C(16,5)$. Thus, the probability is $\frac{C(2,1) \times C(14,4)}{C(16,5)}$, which rounds to approximately 0.458.

Solve the Problem. -Suppose You Receive a Shipment of 16 Calculators, Two of Calculators