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PLEASE HELP ME WITH THIS MATH PROBLEM

 
 
Reply Sun 17 Sep, 2017 10:57 pm
Assume that there are 17 frozen dinners: 8 pasta, 5 chicken, and 4 seafood dinners. The student selects 5 of them.

What is the probability that at least 2 of the dinners selected are pasta dinners
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engineer
 
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Reply Mon 18 Sep, 2017 06:22 am
@ineedhelpdubs,
Let P be the probability that any given pick is a pasta.

P = 8/17

The probability of getting exactly n pastas in a group of five is:

(P^n)(1-P)^(5-n)*5!/n!/(5-n)!

The chance of getting zero pastas is:

(1-P)^5 = 4.16%

The chance of getting exactly one pasta is:

P*(1-P)^4*5 = 18.48%

The chance of getting two or more is 1 minus those numbers.
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