You roll a 6-side die what is p(not a factor of 64)

Answer 1

6 - side die means numbered 1 , 2 ,3 ,4 ,5 and 6 .

not factors of 64 are 3 , 5 and 6 .∴

∴ P( not a factor of 64 ) = 3/6 = 1/2 .

Answer 2

The probability for an event is (# ways event can happen)/(# possible outcomes). For this event, we need to figure out how many ways we can get a factor of 64.

1 is a factor of 64: 64/1=64.

2 is a factor of 64: 64/2=32.

3 is not a factor of 64: 64/3=21.3333..., not an integer. You can tell it's not a factor because the sum of the digits (6+4=10) is not divisible by 3.

4 is a factor: 64/4=16.

5 is not a factor of 64: 64/5=12.8, not an integer. You can tell it's not a factor because 64 doesn't end in 5 or 0.

6 is not a factor of 64: 64/6=10.6666..., not an integer. You can tell it's not a factor because 3 was already not a factor.

So, 1,2, or 4 are factors. The probability = 3/6 = 1/2.