# Math Help - Probability problem

1. ## Probability problem

1. To play a trick on her brother Joe, Mindy raided his jelly bean jar which contained a total of 100 lime flavored jelly beans. She ate ten of the 100 lime flavored jelly beans and replaced them with 10 pickle flavored jelly beans. When she was finished there were again 100 beans in the jar. That evening Joe selects 5 jelly beans from the jar.

A. What are the odds that all of the 5 jelly beans will be lime flavored?

B. What is the probability that at least one jelly bean of the 5 will be pickle flavored?

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Now, I believe that the probability of A is C90,5 / C100,5 = .584. Turning that into odds would be .584/(1-.584) = 1.404 : 1.

If that is correct, is B the opposite of A? In otherwords P(B) = 1- P(A)?

2. Part b is "not all are lime".
$1 - \frac {{{90} \choose {5}}} {{{100} \choose {5}}}$