Question

Dwight has 3 quarters, and he needs 50 cents more to pay the turnpike toll. There are 8 dimes, 10 quarters, and 5 nickels in his glove compartment. If he reaches

in and selects two coins at random without replacing the first one, find the probability of choosing two quarters.
Give your answer as a decimal. Round to the nearest hundreth.

Answer 1

Dwight has a total of $0.75 in quarters. To make 50 cents more, he needs 2 more quarters, bringing the total to 5 quarters.

The probability of choosing a quarter on the first draw is 3/26. Since the first coin is not replaced, there are only 25 coins remaining, including 4 quarters. Thus, the probability of choosing a quarter on the second draw is 4/25.

To find the probability of both events happening, we multiply the probabilities:

P(choosing 2 quarters) = (3/26) * (4/25) = 0.018

Rounded to the nearest hundredth, the probability of choosing two quarters is 0.02.

Explanation: