2) 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
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Numbers are:
10,11,12,13,14,20,21,22,23,24,30,31,32,33,34,40,41,42,43,44
1) Prime number
11,13,23,29,31,37,41,43
P=
20
8
2)Multiple of 4
12,16,20,24,28,32,36,40,44
P=
20
9
3)Multiple of 11
11,22,33,44
P=
20
4
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