Statistics And Probability Question 197

Question: Twenty tickets are marked the numbers 1, 2, ….. 20. If three tickets be drawn at random, then what is the probability that those marked 7 and 11 are among them

Options:

A) $ \frac{3}{190} $

B) $ \frac{1}{19} $

C) $ \frac{1}{190} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •                  $ 7,11 $  have always to be in that group of three, therefore 3rd ticket may be chosen in 18 ways.                    Hence required probability is  $ \frac{18}{{}^{20}C_3}=\frac{18\,.\,3\,.\,2}{20\,.\,19\,.\,18}=\frac{3}{190} $ .