Question

Six cards are drawn simultaneously from a pack of playing cards. What is the probability that 3 will be red and 3 black

• A. ${ } ^ { 26 } C _ { 6 }$
• B. $\frac { { } ^ { 26 } C _ { 3 } } { { } ^ { 52 } C _ { 6 } }$
• C. $\frac { { } ^ { 26 } C _ { 3 } \times { } ^ { 26 } C _ { 3 } } { { } ^ { 52 } C _ { 6 } }$
• D. $\frac { 1 } { 2 }$

Answer 1

Answer: (C)

$\frac { { } ^ { 26 } C _ { 3 } \times { } ^ { 26 } C _ { 3 } } { { } ^ { 52 } C _ { 6 } }$

Answer 2

Required probability $= \frac { { } ^ { 26 } C _ { 3 } \cdot { } ^ { 26 } C _ { 3 } } { { } ^ { 52 } C _ { 6 } }$.