Question

15 cards, numbered 1, 2, 3...., 15 are put in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the card drawn bears an even number.

Answer 1

Given:15 cards numbered 1, 2,...,15 are equally likely; one card is drawn at random.

Step-wise calculation:

1. Total number of outcomes = 15.

2. Even numbers in 1..15: 2, 4, 6, 8, 10, 12, 14 → 7 favourable.

Probability = `"Favourable"/"Total"`

= `7/15`

Probability the card shows an even number = `7/15`.