Question

A bag contains tickets numbered from 1 to 20. Two tickets are drawn. The probability that both the numbers are prime, is

• A. $\frac { 14 } { 95 }$
• B. $\frac { 7 } { 95 }$
• C. $\frac { 1 } { 95 }$
• D. None of these

Answer 1

Answer: (A)

$\frac { 14 } { 95 }$

Answer 2

There are 8 prime numbers $2,3,5,7,11,13,17,19$

Hence required probability $= \frac { { } ^ { 8 } C _ { 2 } } { { } ^ { 20 } C _ { 2 } } = \frac { 8.7 } { 20.19 } = \frac { 14 } { 95 }$.