The probability that any integer from 1 to 100 can be divided by 3 and 5 at the same time

The probability that any integer from 1 to 100 can be divided by 3 and 5 at the same time


It's a multiple of 3 and a multiple of 5, which means it's a multiple of 15
The integral multiple of 15 in 1-100: 15, 30, 45, 60, 75, 90, 6 in total
So the probability is 6% (3 / 50)



Take a random number from 1-1000 integers, and ask the probability that the integers can not be divided by 4 or 6, 892,


In 1-1000, the number that can be divisible by 4 = 1000 / 4 = 250, the number that can be divisible by 6 is 1000 / 6 = 166, the number that can be divisible by both 4 and 6 is 1000 / 12 = 83, that is, the number that can not be divisible by 4 or 6 is 1000-250-166 + 83 = 667



Choose a random number from the integers from 1 to 1000. What's the probability that the integer you get can't be divided by 4 or 6?


In 1-1000 integers, the number that can be divided by 4 is 1000 / 4 = 250, the number that can be divided by 6 is 996 / 6 = 166, the number that can be divided by 4 or by 6 is 996 / 12 = 83. In 1-1000 integers, randomly select a number, and the probability that the integer can not be divided by 4 or by 6