Question

From a pack of $52$ playing cards, face club are removed. The remaining cards are well shuffled and a card is drawn at random. Find the probability that the card drawn is a Heart card.

• A. $\frac{1}{4}$
• B. $\frac{13}{49}$
• C. $\frac{3}{52}$
• D. $\frac{49}{52}$

Answer 1

The correct option is B $\frac{13}{49}$

From $52$ cards, face club cards are removed(club king,club queen,club jack)

$\therefore$ Remaining cards $52-3=49$

Now, we need to find the probability of heart card from remaining cards.

There are total $13$ heart cards.

$\therefore$ $P$ (heart card) $=\frac{13}{49}$.