An integer is chosen between 0 and 100. What is the probability that it is,a) Divisible by 7 b) Not divisible by 7
Answers
Hello mate,
Here is your answer,
There are 99 integers between 0 and 100
Numbers divisible by 7 = 7, 14, 21......98
Total no: of outcomes = 14
P(divisible by 7) = 14/99
P(not divisible by 7) = 1-44/99
= 85/99
Given,
An integer is chosen from range = 0 - 100
To Find,
The probability that it is divisible by 7 =?
The probability that it is not divisible by 7 =?
Solution,
Number that are multiples of 7 between 0 - 10 = { 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63 , 70, 77, 84, 91, 98}
Total number divisible by 7 between 0-100 = 14
Total numbers between 0 - 100 = 99
The probability that it is divisible by 7 = 14 / 99
The probability that it is not divisible by 7 = 1 - The probability that it is divisible by 7
The probability that it is not divisible by 7 = 1 - 14 / 99
The probability that it is not divisible by 7 = (99 - 14) / 99
The probability that it is not divisible by 7 = 85 / 99
Hence, the probabilities that it is divisible by 7 and not divisible by 7 are 14/99 and 85 /99 respectively.