Find the indicated probability.
-A sample of 4 different calculators is randomly selected from a group containing 47 that are defective and 29 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four
Decimal places.
A) 0.1390
B) 0.1463
C) 7.5098
D) 0.1449

Question

Quizplus · Accepted Answer

The probability of selecting a defective calculator on the first selection is 47/76. Since the selection is without replacement, the probability of selecting a defective calculator on the second selection is 46/75, on the third selection is 45/74, and on the fourth selection is 44/73. The probability of all four events occurring together is the product of their individual probabilities: (47/76) * (46/75) * (45/74) * (44/73) = 0.1390 (rounded to four decimal places). Therefore, the best choice is A.

Find the Indicated Probability