Solveeit Logo

Question

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

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

A

34/55

B

21/55

C

17/55

D

None of these

Answer

34/55

Explanation

Solution

Mohan can gets one prize, 2 prizes or 3 prizes and his chance of failure means he get to prize.

Number of total ways =

Favourable number of ways to be failure = 9C3=84{ } ^ { 9 } \mathrm { C } _ { 3 } = 84

Hence required probability = 1 - 84220=3455\frac { 84 } { 220 } = \frac { 34 } { 55 }