A card is selected at random from a pack of 52 playing cards. The selected card is a queen, the probability of this card to be a card of spade is: |
$\frac{1}{3}$ $\frac{1}{4}$ $\frac{4}{13}$ $\frac{1}{2}$ |
$\frac{1}{4}$ |
The correct answer is Option (2) → $\frac{1}{4}$ No of spade = 13 No. of queen in spade = 1 P(spade queen) = ${^{13}C}_1$ P(total cases) = ${^{52}C}_1$ P(spade queen) = $\frac{{^{13}C}_1}{{^{52}C}_1}=\frac{1}{4}$ |