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Your friend tells you she has 7 coins in her hand (just pennies, nickels, dimes and quarters). If you guess how many of each kind of coin she has, she will give them to you. If you guess randomly, what is the probability that you will be correct?

Provide an explanation for the formula used.


Sagot :

The probability that the person will be correct based on the information will be 0.00833.

How to solve probability

In this case, the total coins are 7 and the types of coins are 4. Therefore, the combination will be:

= 10! / 3!(10 - 3)!

= 10! / 3!7!

= (10 × 9 × 8) / (3 × 2)

= 120

Therefore, the probability will be:

= 1/120 = 0.00833

In conclusion, the correct option is 0.00833.

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