Question

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

Answer 1

Given: A standard deck has 52 cards; there are 4 aces, so non-aces = 52 – 4 = 48.

Step-wise calculation:

1. Total possible outcomes = 52.

2. Number of favourable outcomes (non-aces) = 48.

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

= `48/52`

4. Reduce the fraction:

`48/52` = (Divide numerator and denominator by 4)

= `12/13`

= 0.9231

The probability that the card drawn is a non-ace is `12/13`.