Statistics And Probability Question 198

Question: If Mohan has 3 tickets of a lottery containing 3 prizes and 9 blanks, then his chance of winning prize are

Options:

A) $ \frac{34}{55} $

B) $ \frac{21}{55} $

C) $ \frac{17}{55} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  •                 Mohan can gets one prize, 2 prizes or 3 prizes and his chance of failure means he get no prize.                    Number of total ways  $ ={}^{12}C_3=220 $                     Favourable number of ways to be failure  $ ={}^{9}C_3=84 $                     Hence required probability  $ =1-\frac{84}{220}=\frac{34}{55}. $