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 .

Step-by-step 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

$996=100+(n-1)4\\\\\Rightarrow 896=(n-1)4\\\\\Rightarrow n-1=\dfrac{896}{4}\\\\\Rightarrow n-1=224\\\\\Rightarrow n=225$

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 = $\dfrac{225}{1000}=0.225$

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