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A die is thrown once. Find the probability of getting(i) a prime number; (ii) a number lying between 2 and 6; (iii) an odd number. |
Answer» Here, sample space, `S = {1,2,3,4,5,6}` So, `n(S) = 6` (i)Prime numbers in given sample space, ` E_p= {2,3,5}` So,`n(E_p) = 3` Probability of getting a prime number, `P(E_p) = 3/6 = 1/2` (ii)Number lying between 2 and 6 in given sample space,`E_b = {3,4,5}` So,`n(E_b) = 3` Probability of getting a number lying between 2, and 6,`P(E_b) = 3/6 = 1/2` (iii)Odd numbers in given sample space,`E_o = {1,3,5}` So,`n(E_o) = 3` Probability of getting a prime number, `P(E_o) = 3/6 = 1/2` |
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