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.
+23246 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.
