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kimberlyrios12p0ts98
19.07.2020 •
Mathematics
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the probability that after drawing four coins, I have removed at most two pennies from the hat.
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Ответ:
37/66
Step-by-step explanation:
To have removed at most 2 pennies out of 4 coins, you could have either selected 4 nickels, 3 nickels, and 1 penny or 2 nickels and 2 pennies.
There is only one way to select 4 nickels: 6/11 x 5/10 x 4/9 x 3/8 = 1/22
There are four ways to select 3 nickels and 1 penny; each way is: 6/11 x 5/10 x 4/9 x 5/8 = 1/66
4 x 1/66 = 2/33
There are six ways to select 2 nickels and 2 pennies; each way is: 6/11 x 5/10 x 5/9 x 4/8 = 5/66
6 x 5/66 = 5/11
Adding these probabilities: 1/22 + 2/33 + 5/11 = 37/66
Ответ:
weell
Step-by-step explanation: