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.

Guest May 15, 2021

#1**+1 **

There are a total of 24 nuts.

The number of ways to draw 6 from 24 is: _{24}C_{6}.

There are 5 walnuts.

The number of ways to draw 3 from 5 is: _{5}C_{3}.

There are 19 nuts which are not walnuts.

The number of ways to draw 3 from 19 is: _{19}C_{3}.

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: _{5}C_{3} · _{19}C_{3} / _{24}C_{6}.

geno3141 May 15, 2021