A bag of coins contains 2 quarters, 5 dimes, 3 nickels, and 4 pennies. If 2 coins are randomly chosen from the bag, one after th

Question

4 years ago

13

A bag of coins contains 2 quarters, 5 dimes, 3 nickels, and 4 pennies. If 2 coins are randomly chosen from the bag, one after th

e other, and not replaced, and if the total value of the chosen coins is 26 cents, what is the probability that a third coin randomly chosen from the bag will be a penny?

Mathematics

2 answers:

sineoko [7] · Answer 1 · 2021-11-14T02:53:28+03:00

sineoko [7]4 years ago

7 0

The two coins chosen have to be a quarter and a penny. That leaves you with three pennies. You originally had 14 coins. You took out two you now have 12.

<span>3/12 = 1/4 </span>

natulia [17] · Answer 2 · 2021-11-14T04:54:05+03:00

Answer:

B

Step-by-step explanation:

The 2 coins that have a combined value of 26 cents are a quarter and a penny. That means that 1 quarter and 1 penny must have already been removed from the bag. For this reason, the bag now contains 1 quarter, 5 dimes, 3 nickels, and 3 pennies. Therefore, the probability that a third coin randomly chosen from the bag will be a penny is

3

1 + 5 +3 + 3

=

3

12

=

1

4

.