Question

A card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting neither a king nor a jack.

Answer 1

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

Step-wise calculation:

1. Total possible outcomes = 52.

2. Each suit has one king and one jack, so there are 4 kings and 4 jacks, hence 4 + 4 = 8 cards that are either a king or a jack.

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

4. Required probability

= `"Number of favourable outcomes"/ "Total outcomes"` 

= `44/52`

= `11/13`

The probability of getting neither a king nor a jack is `11/13`.