Find the indicated probability.
-A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.
A) 0.7733
B) 0.7744
C) 0.0144
D) 0.176

Question

Quizplus · Accepted Answer

Since the first selection is replaced before the second is made, we can consider each selection as independent. The probability of selecting a good coil on any given selection is 88/100, and the probability of selecting a defective coil on any given selection is 12/100. 
Therefore, the probability of getting two good coils is (88/100)*(88/100) = 0.7744. Hence, the answer is choice B.

Find the Indicated Probability