Question

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

Answer 1

Given: A standard well-shuffled deck has 52 cards; the red suits are hearts and diamonds, 13 cards each, so there are 26 red cards.

Step-wise calculation:

1. Total number of equally likely outcomes = 52.

2. Number of favourable outcomes (red cards) = 26.

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

= `26/52`

4. Simplify `26/52 = 1/2`

= 0.5

= 50%

The probability that the card drawn is a red card is `26/52 = 1/2 (50%)`.