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A store sells 30 kinds of balloons. You have decided to buy 50 balloons for our...

A store sells 30 kinds of balloons. You have decided to buy 50 balloons for our end-of-test-three party.

What is the probability you get at least one balloon of each kind?

Math   Statistics-And-Probability   
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Answer:

Let S be the sample space of different types of combinations of 50 balloons from the 30 kinds of balloons

Then,

Let E be the event that a combination contains at least one balloon of each kind,

i.e., the combinations of 20 (50 - 30) balloons ( After chosing 1 from every kind, the remaiining 20 can be chosen) from 30 kinds of balloons

Then, N(E) = (20 + 30 - 1 C 20 ) = 49C20

The probability that a combination contains at least one balloon of each kind

P(E) = 49C20 / 79C50

answered by: anonymous
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