Question

An integer is chosen at random between 1 and 100. Find the probability that it is : (i) divisible by 8. (ii) not divisible by 8.

Answer 1

Answer:

Step-by-step explanation:

Here it is.

Answer 2

An Integer is Chosen at random between 1 and 100.

$\boxed{\mathbf{Probability=\frac{Favourable\: Outcomes}{Total\: Outcomes}}}$

(1) Number That are divisible by 8 under 100

=8,16,24,32,40,48,56,64,72,80,88,96

Total=12

Favourable Outcomes=12

Total Outcomes=100

$\boxed{\mathbf{Probability (D\:by\:8)=\frac{12}{100}}}$

$\boxed{\mathbf{Probability (D\:by\:8)=\frac{3}{25}}}$

(2) 12 numbers are divisible by 8

Non-Divisible=100-12=88

Favourable Outcomes=88

Total Outcomes=100

$\boxed{\mathbf{Probability (ND\:by\:8)=\frac{88}{100}}}$

$\boxed{\mathbf{Probability (ND\:by\:8)=\frac{22}{25}}}$