Question

A number is choosen at random from first hundred natural numbers. What is the probability that the number obtained is (i) a multiple of 5 (ii) a perfect square n 20 and 40 umber (ii) a number greater than 50 (iv) a number between 20 and 40 .​

Answer 1

Here,

there are 100 natural number

n(S)=100

1.a multiple of 5

S=(5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100)

n(S)=20

P(A)=n(A)/n(S)

=20/100

=1/5

3.A number greater than 50

so,

n(C)=50

P(C)=n(C)/n(S)

=50/100

=1/2

4. A no. between 20 and 40

D=(21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39)

n(D)=19

P(D)=n(D)/n(S)

=19/100