Question

A number is picked up random from the three digit numbers, the probability that the no. Is divisible by 4 is?

Answer 1

Answer: The probability that the no. is divisible by 4 is 0.225 .

Explanation:

First three-digit number: a = 100

Last digit number: l = 996

Common difference: d = 4

Formula: l=a+(n-1)d

Substitute all values, we get

`996=100+(n-1)4\\\\\Rightarrow 896=(n-1)4\\\\\Rightarrow n-1=(896)/(4)\\\\\Rightarrow n-1=224\\\\\Rightarrow n=225`

i.e. there are 225 three digit numbers divisible by 4.

Total 3-digit numbers = 1000

The probability that the no. is divisible by 4 =
`(225)/(1000)=0.225`

Hence, the probability that the no. is divisible by 4 is 0.225 .