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Question
A box contains 20 cards numbered from 1 to 20. A card is drawn at random from the box. Find the probability that the number on the drawn card is divisible by 2 or 3
Solution
Total number of outcomes = 20
The numbers from 1 to 20 which are divisible by 2 or 3 are 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18 and 20.
So, the favourable number of outcomes are 13.
∴ P(number on the drawn card is divisible by 2 or 3) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{13}{20}\]
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