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Question
Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is a prime number greater than 7
Solution
Total number of outcomes = 30
Prime numbers greater than 7 are 11, 13, 17, 19, 23 and 29.
So, the favourable number of outcomes are 6.
∴ P(drawing a card with prime number greater than 7) =\[\frac{\text{ Favourable number of outcomes }}{\text{ Total number of outcomes }} = \frac{6}{30} = \frac{1}{5}\]
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