Question

. A two digit number is formed with digits 2, 3, 5,
7,8
without repetition. What is the probability
that the number formed is
(1) an even number?
(2) a multiple of 5?​

Answer 1

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

20/25 =4/5

a multiple of 5

Numbers which are multiple of 5 are

{25,35,55,75,95}

∴ probability of multiple of 5 is

5/25 = 1/5