Question

The probability that a card drawn from pack of $52$ cards will be diamond or a king is:

• A. $\frac{2}{13}$
• B. $\frac{4}{13}$
• C. $\frac{1}{13}$
• D. $\frac{1}{52}$

Answer 1

The correct option is B $\frac{4}{13}$

Here $n\left(S\right)=52$
There are $13$ cards of diamond (including one king) and there are 3 more kings
Let E=event of getting a diamond or a king
Then $n\left(E\right)=(13+3)=16$
$\therefore P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{16}{52}=\frac{4}{13}$