Question

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is neither a king nor a queen.

Answer 1

Given: A single card is drawn at random from a well-shuffled standard deck of 52 playing cards.

Step-wise calculation:

1. Total possible outcomes = 52.

2. Number of kings = 4 and number of queens = 4.

So, the number of kings or queens = 8.

3. Number of cards that are neither a king nor a queen = 52 – 8 = 44.

4. Probability = `"Favourable outcomes"/"Total outcomes"`

= `44/52`

= `11/13`

The probability that the card drawn is neither a king nor a queen is `11/13`.