Question

A card is drawn randomly from a pack of cards.The probability that the drawn card is neither a heart nor a king is:

• A. $\frac{1}{2}$
• B. $\frac{6}{13}$
• C. $\frac{9}{13}$
• D. $\frac{7}{13}$

Answer 1

The correct option is C $\frac{9}{13}$

There are $13$ heart cards and $4$ king cards of which one is heart king.
Total possible outcome $=52$
Let event $A=$ neither a heart nor a king
$P\left(A\right)=1-P\left(A^c\right)$
$=1-\frac{16}{52}=\frac{36}{52}=\frac{9}{13}$