Question

a number is selected at random from first 100 whole numbers. find the probability that the number is divided by 8 or 12.​

Answer 1

Answer:

17/101

Step-by-step explanation:

total numbers = 101

numbers divisible by 8: 0,8,16,..........,96

by AP: a=0, d=8, l=96

96=0+(n-1)8

96/8=n-1

n=13

numbers divisible by 12: 0,12,24,........,96

similarly by AP: 96=12(n-1)

n=9

numbers divisible by both 8 and 12: 0,24,48,..........,96

by AP: 96=24(n-1)

n=5

probability number is divisible by 8: 13/101

probability number is divisible by 12: 9/101

probability no. is divisible by both: 5/101

probability no. is divisible by 8 or 12: 13/101 + 9/101 - 5/101

22/101 -5/101

17/101 ans.

Hope so it is correct