SOLUTION: A bowl contains 8 pennies, 7 nickels, and 10 dimes. Alyssa removed 1 coin at random and doesn't replace it. Then she removes the second coin at random. What is the probability t

Algebra ->  Probability-and-statistics -> SOLUTION: A bowl contains 8 pennies, 7 nickels, and 10 dimes. Alyssa removed 1 coin at random and doesn't replace it. Then she removes the second coin at random. What is the probability t      Log On


   

Question 876043: A bowl contains 8 pennies, 7 nickels, and 10 dimes. Alyssa removed 1 coin at random and doesn't replace it. Then she removes the second coin at random. What is the probability that both will be nickels?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7 nickels

8+7+10 = 25 coins

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First draw: (7 nickels)/(25 coins) = 7/25

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Coins are not replaced

7-1 = 6 nickels left

25-1 = 24 coins left

Second draw: (6 nickels)/(24 coins) = 6/24 = 1/4

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Multiply the two fractions:

(7/25)*(1/4) = 7/100 = 0.07

The answer as a fraction is 7/100

The answer as a decimal is 0.07