A club lists as its members 2 Canadian, 3 Japanese, 5 Italians and 2 Germans. Find the probability that no Canadian is selected if a committee of size 4 is selected at random.
Answers
Given : A club lists as its members 2 Canadian, 3 Japanese, 5 Italians and 2 Germans.
To Find : probability that no Canadian is selected if a committee of size 4 is selected at random.
Solution:
2 Canadian,
3 Japanese,
5 Italians
2 Germans.
Total = 2 + 3 + 5 + 2 = 12
4 out of 12 can be selected in ¹²C₄ = 495 ways
no Canadian is selected then Left = 12 - 2 = 10
4 out of 10 can be selected in ¹⁰C₄ = 210 ways
probability that no Canadian is selected if a committee of size 4 is selected at random = 210/495
= 42/99
= 14/33
= 0.4242
probability that no Canadian is selected if a committee of size 4 is selected at random. = 14/33 or 0.4242
Learn More:
A pair of fair dice is thrown independently four times. The probability ...
brainly.in/question/21757712
A pair of dice is thrown together till a sum of 4 or 8 is obtained. The ...
brainly.in/question/14777415