Question

Two cards are drawn from a pack of 52 cards. What is the probability that at least one of the cards drawn is an ace

• A. $\frac { 33 } { 221 }$
• B. $\frac { 188 } { 221 }$
• C. $\frac { 1 } { 26 }$
• D. $\frac { 21 } { 221 }$

Answer 1

Answer: (A)

$\frac { 33 } { 221 }$

Answer 2

Required probability is $1 - P$ (no ace)

$= 1 - \frac { 48 } { 52 } \cdot \frac { 47 } { 51 }$ $= \frac { 663 - 564 } { 13.51 } = \frac { 99 } { 13.51 } = \frac { 33 } { 221 }$.