Q15 of 36 Page 126

A two digit number is to be formed from the digits 0, 1, 2, 3, 4. Repetition of the digits is allowed. Find the probability that the number so formed is a -

(1) prime number


(2) multiple of 4


(3) multiple of 11.

Sample Space, S= {10,11, 12, 13, 14, 20, 21,22, 23, 24, 30, 31, 32,33, 34, 40, 41, 42, 43,44, 50, 51, 52, 53, 54}


Number of sample points, n(S) = 25


(1) Probability that the number so formed is a prime number , p(Prime)=


p(Prime)=


(2) Probability that the number so formed is a multiple of 4, p(M)=


p(M)=


(3) Probability that the number so formed is a multiple of 11, p(M)=


p(M)=


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