Answer:
[tex]\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}[/tex]
Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be [tex]\frac{2}{6} = \frac{1}{3}[/tex] since there are two factors and 6 possible options.
This means, logically, there is a [tex]\frac{4}{6} = \frac{2}{3}[/tex] chance of not rolling a factor of 35.
Hope this helped!
