Question

Dial 100 card in a bag on which numbers from 1 to hundred are written . Ekant is taken out from the bag at random find the probability that the number on the selected card . 1. Is divisible by 9 and it is a perfect square. 2. Is a prime number greater than 80

Answer 1

(1) divisible by 9 and it is perfect square.
e.g. 9, 36, 81
Hence, n(E) = 3
n(S) = 100
Now,
$P(E) = \frac{n(E)}{n(S)}\\\\=\frac{3}{100}$

(ii) prime numbers greater than 80.
e.g. 83, 89, 97
Hence,
n(E) = 3 { 83, 89, 97 there are three numbers }
n(S) = 100
Now,
$P(E) = \frac{n(E)}{n(S)}\\\\=\frac{3}{100}$

Answer 2

(1) divisible by 9 and it is perfect square.
e.g. 9, 36, 81 
Hence, n(E) = 3 
n(S) = 100 
Now,
Probality=favourable outcome/total
Probability =3/100



(ii) prime numbers greater than 80.
e.g. 83, 89, 97 
Hence, 
n(E) = 3 { 83, 89, 97 there are three numbers }
n(S) = 100
Probability =3/100