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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 the 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?

A)

1/3

 

B)

1/4

 

C)

3/13

 

D)

3/14

Guest May 16, 2017
 #1
avatar+7065 
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The only two coins that add up to 26 cents are a penny and a quarter.

That leaves 1 quarter, 5 dimes, 3 nickles, and 3 pennies in the bag.

 

 

probability = number of pennies in bag / total number of coins

probability = 3 / (1 + 5 + 3 + 3)

probability = 3 / 12

probability = 1 / 4

hectictar  May 16, 2017

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