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
[tex]996=100+(n-1)4\\\\\Rightarrow 896=(n-1)4\\\\\Rightarrow n-1=\dfrac{896}{4}\\\\\Rightarrow n-1=224\\\\\Rightarrow n=225[/tex]
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 = [tex]\dfrac{225}{1000}=0.225[/tex]
Hence, the probability that the no. is divisible by 4 is 0.225 .
