1.

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

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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