Q3 of 23 Page 1

Attempt any three sub-question from the following:

Two-digit numbers are formed from the digits 0, 1, 2, 3, 4 where digits are not repeated. Find the probability of the events that:


(a) The number formed is an even number.


(b) The number formed is a prime number.

The two digit numbers that can be formed using the digits 0, 1, 2, 3, 4 without repeating digits are

∴ S = {10, 12, 13, 14, 20, 21, 23, 24 30, 31, 32, 34, 40, 41, 42, 43}


∴ n(S) = 16


(a) Let A be the event that the number formed is even number


A = {10, 12, 14, 20, 24, 30, 32, 34, 40, 42}


n (A) = 10


P (A) = n (A)/n (S)


∴ P (A) = 10/16


∴ P (A) = 5/8


(b) Let C be the event that number formed is prime number


C = {13, 23, 31, 41, 43}


n (C) = 5


P (C) = n (C)/n (S)


∴ P (C) = 5/16


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