Find the indicated probability. Round your answer to 6 decimal places when necessary
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
The probability of selecting a good coil on the first selection is 88/100 = 0.88. Since the first coil is replaced before the second selection, the probability of selecting a good coil on the second selection is also 88/100 = 0.88.
To find the probability of both events occurring, we multiply the probabilities together:
0.88 x 0.88 = 0.7744
Therefore, the probability of getting two good coils when two coils are randomly selected with replacement is 0.7744.