Question

A four-digit number is to be formed from a given set of numbers -1, 3, 4, 5, 8 such that each digit in the

number is distinct. Find the probability that a number formed is an even number.​

Answer 1

Step-by-step explanation:

Assumption : Repeatation are not allowed

Here, we can have to choose 4 digits from given 5 digits, so there are total 5p4 = 120 numbers out of which numbers ended with 4 or 8 can be treated as even.

So, if we take 4 as last digit than total 4p3 numbers can be formed and similarly for 8 as last digit 4p3 number can be formed.

Answer will be,

(2 * 4p3) / 5p4

= 2 * 24 / 120

= 2/5