Question

In: Statistics and Probability

A jar of jellybeans contains 196 jellybeans. Of those 32 have the flavor "Buttered Popcorn". If...

A jar of jellybeans contains 196 jellybeans. Of those 32 have the flavor "Buttered Popcorn". If a handful of jellybeans are randomly pulled out of the jar - a total of 18 jellybeans - find the probability that 2 of them have the flavor "Buttered Popcorn".

Solutions

Expert Solution

All possible ways 18 jellybeans can be drawn from the jar = 196C18

Here C is the combination

Number of ways 2 Buttered Popcorn flavour jellybeans is selected = 32C2

Number of jellybean that are not Buttered Popcorn flavoured = 196 - 32 = 164

Number of ways 16 jellybean is selected from 164 jellybeans = 164C16

Number of ways such that among 18 jellybeans drawn 2 are Butter popcorn flavoured = (164C16 32C2)

Probability that 2 of them have the flavor "Buttered Popcorn" = ( Number of ways such that among 18 jellybeans drawn 2 are Butter popcorn flavoured All possible ways jellybeans can be drawn from the jar)

Probability that 2 of them have the flavor "Buttered Popcorn" = ((164C16 32C2) 196C18)

Probability that 2 of them have the flavor "Buttered Popcorn" = 0.2395

Answer: 0.2395

orchestra answered 2 years ago
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