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A die is thrown. Find the probability of getting: (i) a prime number (ii) 2 or 4 (iii) a multiple of 2 or 3 (iv) an even prime number (v) a number greater than 5 (vi) a number lying between 2 and 6 |
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Answer» Sample space, S = 6 (i) Number of event of getting a prime number, n(E) = 3 ∴ p = \(\frac{n(E)}{n(S)} \) = \(\frac{3}{6} \) = \(\frac{1}{2}\) (ii) p = \(\frac{n(E)}{n(S)} \) = \(\frac{2}{6} \) = \(\frac{1}3\) (iii) p = \(\frac{n(E)}{n(S)} \) = \(\frac{4}{6} \) = \(\frac{2}3\) (iv) p = \(\frac{n(E)}{n(S)} \) = \(\frac{1}{6} \) (v) p = \(\frac{n(E)}{n(S)} \) = \(\frac{1}{6} \) (vi) p = \(\frac{n(E)}{n(S)} \) = \(\frac{3}{6} \) = \(\frac{1}{2}\) |
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