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Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn cards is (i) an odd number (ii) a perfect square number (iii) divisible by 5 (iv) a prime number less than 20 |
Answer» Total number of possible outcomes, n(S) = 50 (i) Number of favorable outcomes, n(E) = 25 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{25}{50}\) = \(\frac{1}{2}\) (ii) Number of favorable outcomes, n(E) = 4 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{4}{50}\) = \(\frac{2}{25}\) (iii) Number of favorable outcomes, n(E) = 10 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{10}{50}\) = \(\frac{1}{5}\) (iv) Number of favorable outcomes, n(E) = 4 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{4}{50}\) = \(\frac{2}{25}\) |
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