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A bag contains 9 hazelnuts, 10 almonds, and 5 walnuts. If 6 are drawn at random, what is the probability of exactly 3 walnuts? thank you.

 May 15, 2021
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There are a total of 24 nuts.

The number of ways to draw 6 from 24 is:  24C6.

 

There are 5 walnuts.

The number of ways to draw 3 from 5 is:  5C3.

 

There are 19 nuts which are not walnuts.

The number of ways to draw 3 from 19 is:  19C3.

 

You need to select 3 walnuts and 19 nuts which are not walnuts from a total of 24 nuts.

The probability of doing this is:  5C3 · 19C3  /  24C6.

 May 15, 2021

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