suppose that you have 15 quarters, 10 dimes, 10 nickels, and 10 pennies in your pocket. you reach in and choose a coin at random so that you can give it to your child. what is the expectation? (round your answer to two decimal places.)

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11-10-2022
Mathematics

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suppose that you have 15 quarters, 10 dimes, 10 nickels, and 10 pennies in your pocket. you reach in and choose a coin at random so that you can give it to your child. what is the expectation? (round your answer to two decimal places.)

Answer :

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YashBhattar YashBhattar · Answer 1 · 2022-10-19T03:26:03-04:00

If you have 15 quarters, 10 dimes, 10 nickels and 10 pennies, then the probabilities of getting quarter, dimes, nickels and pennies are 0.33, 0.22, 0.22 and 0.22 respectively.

Total number of quarters = 15 quarters

Total number of dimes = 10 dimes

Total number of nickels = 10 nickels

Total number of pennies = 10 pennies

Total number of coins = 15+10+10+10 = 45

The probability of getting a quarters = 15/45

= 0.33

The probability of getting a dimes = 10/45

= 0.22

The probability of getting a nickel = 10/45

= 0.22

The probability of getting penny = 10/45

= 0.22

Hence, if you have 15 quarters, 10 dimes, 10 nickels and 10 pennies, then the probabilities of getting quarter, dimes, nickels and pennies are 0.33, 0.22, 0.22 and 0.22 respectively.

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