Question

From a well-shuffled deck of $52$ cards, a card is drawn at random. Find the probability that the card drawn is either red or a king.

• A. $\frac{7}{13}$
• B. $\frac{6}{13}$
• C. $\frac{2}{13}$
• D. $\frac{5}{13}$

Answer 1

Answer: (A)

Let $S$ denote the sample space. Then $n(S)=52$.
Let $E=$ event of drawing a card which is either red or a king. There are $26$ red cards (including $2$ red kings) and there are $2$ more kings.
$\therefore n(E)=26+2=28$
$\therefore P$ (getting a red card or a king) $=P(E)$
$=\frac{n(E)}{n(S)}$
$=\frac{28}{52}$
$=\frac{7}{13}$