Question

All kings and queens are removed from a pack of 52 cards. The remaining cards are well-shuffled and then a card is randomly drawn from it. Find the probability that this card is either a red card or a queen.

Answer 1

Given: Total cards = 52 Cards removed = 4 Kings + 4 Queens = 8 cards

\[ \text{Remaining cards, } n(S) = 52 - 8 = 44 \]

Either a red card or a queen: Since all queens have been removed, this is equivalent to drawing a red card.

Remaining red cards = `(26 - 4\ \text{(red Kings and Queens)} = 22)` 

\[ P(\text{red card or a queen}) = \dfrac{22}{44} = \dfrac{1}{2} \]