The probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contains in the bag = 15+10+15 = 40
Total number of nickel = 10
The probability of getting the nickel = 10/40 = 1/4
The complement of the probability:
P' = 1 – 1/4
P' = 3/4
Thus, the probability of the complement of the event is 3/4 if the nickel is selected at random out of a bag containing 15 pennies, 10 nickels, and 15 dimes.
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