Question

A box contains 30 cards, numbered from 1 to 30. A card is drawn from the box at random. Find the probability that the number on the drawn card is even.

Answer 1

Given: A box has cards numbered 1 to 30 (total outcomes = 30).

Step-wise calculation:

1. Even numbers between 1 and 30:

2, 4, 6, ..., 30

2. Count of even numbers

= 30 ÷ 2

= 15

3. Probability

= `"Number of favourable outcomes"/"Total outcomes"` 

= `15/30`

= `1/2`

The probability that the drawn card shows an even number is `1/2`.