Question

14. Mason has 2 quarters, and he needs 50 cents more to pay the turnpike toll. There are 5 dimes, 6 quarters, and 10 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. 99

Answer 1

we have in total of coins are

5+6+10=21

For the first coin, we have the probability of 6/21

Then we only left 5 quarters and 20 coins in total, the next probability will be 5/20

the total probability is

$\frac{6}{21}\cdot\frac{5}{20}=\frac{30}{420}=\frac{1}{14}$

the answer is 1/14