Question

A card is drawn at random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is a red king?

Answer 1

Given: A well shuffled standard deck of 52 cards; the event is “a red king” (King of Hearts or King of Diamonds).

Step-wise calculation:

1. Total possible outcomes = 52.

2. Number of favorable outcomes (red kings) = 2 (KH, KD).

3. Probability = `"Favorable"/"Total"`

= `2/52`

= `1/26`

The probability that the card drawn is a red king is `1/26` (≈ 0.03846).