Question

One card is drawn from a pack of $52$ cards. What is the probability that the card drawn is either a red card or a king?

• A. $\frac{1}{2}$
• B. $\frac{6}{13}$
• C. $\frac{7}{13}$
• D. $\frac{27}{52}$

Answer 1

The correct option is C $\frac{7}{13}$

Here n(S)=52
There are 26 red cards (including 2 kings) and there are 2 more kings
Let E = event of getting a red card or a king
Then n(E)=28
$\therefore P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{28}{52}=\frac{7}{13}$