4) A two digit number is formed with digits 0,3,5,7 without repetition. What is the probability
that the number formed is an even number?
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Answer:
Digits are {22,23,25,27,29,32,33,35,37,39,52,53,55,57,59,72,73,75,77,79,92,93,95,97,99}
∴Total digits are 25
Odd numbers are 20
∴ probability that an odd number is formed is
25
20
=
5
4
a multiple of 5
Numbers which are multiple of 5 are
{25,35,55,75,95}
∴ probability of multiple of 5 is
25
5
=
5
1
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