Armando has some coins in his pocket. 3 dimes 2 quarters 2 pennies 5 nickles What is the probability that he will pull out a nickel, then a quarter, then a nickel if he does not put any of the coins back in his pocket after he selects it?

The probability that he will pull out a nickel, then a quarter, then a nickel is

Explanation:

Given:

Number of dimes = 3

Number of Quarters = 2

Number of pennies = 2

Number of Nickles = 5

Total coins = 3 + 2 + 2 + 5

                 = 12  

Probability that Armando will pull out Nickel first =                                                      

After taking out Nickel, the total number of coins in the pocket will be 11

So,

Probability that he will pull a quarter =

Total coins remaining = 11 - 1 = 10

Total Nickel remaining = 5 - 1 = 4

Probability that he will take our Nickel =

Total probability =

                         =

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