Question

One card is drawn at random from a well-shuffeld deck of 52 cards. Find the probability that the card drawn is (i) a king (ii) a spade (iii) a red queen (iv) a black 8

Answer 1

In a deck of cards, there are $4$ suits. Each suit has $13$ cards.

Thus, there are total $4$ kings in a deck.$13$ cards of spade. $2$ red queen, each of heart and diamond and only $1$ black eight card.

$\text{A cars's drawn at random from a deck of well shuffled deck of 52 card}\therefore \text{Probability =52}\text{(i) Probability of a card being a king}=\frac{4}{52}=\frac{1}{13}\text{(ii) Probability of a card being spade}=\frac{13}{52}=\frac{1}{4}\text{(iii) Probability of a card being a red queen}=\frac{2}{52}=\frac{1}{26}\text{(iv) Probability of a card being a black8}=\frac{2}{52}=\frac{1}{26}$