Question

A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither an ace nor a black king.

Answer 1

Given: A card is drawn at random from a pack of 52 playing cards; find the probability that the card drawn is neither an ace nor a black king.

Step-wise calculation:

1. Total possible outcomes = 52.

2. Number of aces = 4.

3. Number of black kings (king of spades, king of clubs) = 2.

4. Number of cards that are either an ace or a black king = 4 + 2 = 6.

5. Number of cards that are neither an ace nor a black king = 52 – 6 = 46.

6. Required probability = `46/52` = `23/26`.

The probability that the card drawn is neither an ace nor a black king = `23/26`.