Question

A card is drawn at random from a deck of playing cards. What is the probability of drawing:

• A. $P\left(RedKing\right)=\frac{1}{26}$
  $P\left(Black{10}^{\prime }s\right)=\frac{1}{26}$
• B. $P\left(RedKing\right)=\frac{1}{13}$
  $P\left(Black{10}^{\prime }s\right)=\frac{1}{26}$
• C. $P\left(RedKing\right)=\frac{1}{26}$
  $P\left(Black{10}^{\prime }s\right)=\frac{1}{13}$
• D. $P\left(RedKing\right)=\frac{1}{13}$
  $P\left(Black{10}^{\prime }s\right)=\frac{1}{13}$

Answer 1

The correct option is A $P\left(RedKing\right)=\frac{1}{26}$

$P\left(Black{10}^{\prime }s\right)=\frac{1}{26}$
Number of kings $=4$
Number of red kings $=2$

Number of 10's $=4$
Number of black 10's $=2$

Total number of cards $=52$

Hence,
$P\left(RedKing\right)=\frac{2}{52}=\frac{1}{26}$

$P\left(Black{10}^{\prime }s\right)=\frac{2}{52}=\frac{1}{26}$