Question

One number is selected at random from the first 100 natural numbers. Find the probability that this

number is divisible by 7.​

Answer 1

Answer:

0.14

Step-by-step explanation:

Given that One number is selected at random from the first 100 natural numbers .

So , first 100 natural numbers are ,

=> S = { 1,2,3,4,5,..........97,98,99,100 }

=> n(S) = 100

Between 1 to 100 ,first number divisible by 7 is 7 and the last number is 98 .

So , number of favourable outcomes = 98/7 = 14 .

$\bf => P(of\: getting\:a\;no.\: divisible\:by\:7)=\dfrac{Total \:number\: of\: favourable\: outcomes}{Total number of possible outcomes }\\\sf => P(of\: getting\:a\;no.\: divisible\:by\:7)=\dfrac{14}{100}\\=>\sf \red{ P(of\: getting\:a\;no.\: divisible\:by\:7)=\dfrac{7}{50}= 0.14 }$