Question

A card is drawn of random from a pack of well shuffled $52$ plying cards. Find the probability that the card drawn is

1. Ace
2. Spade

Answer 1

Total no. of cards $=52$

Total no. of aces in a well shuffled pack $=4$

Total no. of spades $=13$

Therefore,

Probability of getting an ace $=\frac{\text{Total no. of aces}}{\text{Total no. of card}}=\frac{4}{52}=\frac{1}{13}$

Probability of getting a spade $=\frac{\text{Total no. of spades}}{\text{total no. of cards}}=\frac{13}{52}=\frac{1}{4}$