Solveeit Logo
Login

Question

Question: In a lottery 50 tickets are sold in which 14 are of prize. A man bought 2 tickets, then the probabil...

In a lottery 50 tickets are sold in which 14 are of prize. A man bought 2 tickets, then the probability that the man win the prize, is

A

1735\frac { 17 } { 35 }

B

1835\frac { 18 } { 35 }

C

72175\frac { 72 } { 175 }

D

13175\frac { 13 } { 175 }

Answer

1735\frac { 17 } { 35 }

Explanation

Solution

In 50 tickets 14 are of prize and 36 are blank. Number of ways both the tickets are blank =36C2= { } ^ { 36 } C _ { 2 }

Thus the probability of not winning the prize

=36C250C2=1835= \frac { { } ^ { 36 } C _ { 2 } } { { } ^ { 50 } C _ { 2 } } = \frac { 18 } { 35 } .

Hence probability of winning the prize =1−1835=1735= 1 - \frac { 18 } { 35 } = \frac { 17 } { 35 }