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michellelirett
03.02.2020 •
Mathematics
Randy has 4 pennies, 2 nickles, and 3 dimes in his pocket. if he randomly chooses 2 coins, what is the probability that they are both dimes if he doesn’t replace the first one?
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Ответ:
1/12
Step-by-step explanation:
This is a case of joint probability.
There are a total of (4 + 2 + 3) coins in his pocket: 9 coins.
The prob. of his choosing a dime on the first selection is 3/9, or 1/3, since there are 3 dimes out of a total of 9 coins.
Now there are 8 coins, 2 of which are dimes. The prob. of choosing a dime on the 2nd selection is 2/8, or 1/4.
The joint probability is thus (1/3)(1/4) = 1/12.
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