Question

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a king or a jack.

Answer 1

Given: A well-shuffled standard deck of 52 playing cards; find the probability the drawn card is a king or a jack.

Step-wise calculation:

1. Total number of possible outcomes = 52.

2. Number of kings = 4.

3. Number of jacks = 4.

4. Since being a king and being a jack are mutually exclusive, number of favourable outcomes = 4 + 4 = 8.

5. Required probability = `"Favourable"/"Total"`

= `8/52`

= `2/13`

= 0.1538

The probability that the card drawn is a king or a jack is `2/13` about 0.1538.