Question

The king, queen and jack of clubs are removed from a deck of $52$ playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card is (i) heart (ii) queen (iii) clubs.

Answer 1

After removing the king, queen and jack of clubs, the number of remaining cards $=(52-3)=49$

So, the total number of all possible outcomes $=49$

(i) Number of heart cards $=13$

$\therefore$ P(getting a card of hearts) $=\frac{13}{49}$

(ii) Number of queens $=3$

$\therefore$ P(getting a queen) $=\frac{3}{49}$

(iii) There are $10$ cards of clubs in the remaining 49 cards.

$\therefore$ P(getting a card of clubs) $=\frac{10}{49}$