In your pocket you have 2 quarters, 3 dimes, and 4 nickels. If you select three coins from your pocket, what is the probability that you will select exactly 30 cents?
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OpenStudy (geometry_hater):
well what ways can you get 30 cents?
OpenStudy (anonymous):
dime+dime+dime
OpenStudy (anonymous):
a quarter and a nickel
OpenStudy (anonymous):
thats only 2
coins
OpenStudy (geometry_hater):
1 quarter and a nikel
3 dimes
2 dimes 2 nickels
1 dime 4 nickels
i think about 4 or 5 possible ways given the coins
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OpenStudy (anonymous):
remember we are picking 3 coins specifically
OpenStudy (geometry_hater):
ok
OpenStudy (anonymous):
oh
OpenStudy (anonymous):
10+10+10
OpenStudy (anonymous):
i think thats the only way
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OpenStudy (geometry_hater):
it is only out of 3 coins to select
OpenStudy (geometry_hater):
so we need to get a fraction out of all the possible ways
OpenStudy (geometry_hater):
that will be your answer
OpenStudy (anonymous):
so is my answer 1/9
?
OpenStudy (geometry_hater):
i think that may be right
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OpenStudy (anonymous):
im not sure though. i feel like there should be more possibilities of picking 3 coins
OpenStudy (anonymous):
perhaps i should do 9 C 3
or 9 P 3
OpenStudy (anonymous):
but im not sure which one
OpenStudy (geometry_hater):
well try to put the possibilities that will only give you 30 cents
OpenStudy (anonymous):
right but there is only 1 possibility
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OpenStudy (anonymous):
so it is 1/total number of all 3 coin possibilities
OpenStudy (anonymous):
and since order does not necessarily matter we should use 9 C 3 to find out how many possiblilities there are