question archive There is a bag of miscellaneous cookies: five chocolate chip cookies, three macaroons, six peanut butter cookies, nine sandwich cookies, and two snickerdoodles
There is a bag of miscellaneous cookies: five chocolate chip cookies, three macaroons, six peanut butter cookies, nine sandwich cookies, and two snickerdoodles
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There is a bag of miscellaneous cookies: five chocolate chip cookies, three macaroons, six peanut butter cookies, nine sandwich cookies, and two snickerdoodles.
If four cookies are randomly selected from the bag without replacement, what is the chance that at least one is a snickerdoodle? (Give answer as reduced fraction or decimal w/4 places.)
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Probability = 3/10
Step-by-step explanation
If 4 cookies are randomly selected, then total possible outcomes = 25C4 = 12650
Favourable number of cases to get atleast one snickerdoodles.
= 2C1*23C3 + 2C2*23C2
= 3542 + 253
= 3795
Therefore
Required chance or probability
= 3795/12650
= 3/10
