Answer:
Here's what I think the answers are:
Explanation:
First of all, know that all sides of the number cube has a 1/6 chance of landing face up (assuming that it's an unbiased cube).
Rolling a number <7: This means any number from 1-6 (which is all sides of the cube) => 6/6 chances or 100%
Rolling an 8: There's no #8 in a cube with 1-6 numbers in it => 0/6 or 0%
Rolling a number >4: This refers to number 5 & 6. Both of those have 1/6 chance of landing face up so that's 1/6 + 1/6 => 2/6 or 1/3 chance
Rolling a 5: There is one #5 in the cube so => 1/6 chance
Rolling a number other than 6: This refers to number 1-5, where all have 1/6 chance of landing face up. So that's 1/6 * 5 = 5/6
Rolling an even number: There are three even numbers in this cube (i.e., 2, 4, 6). So that's 1/6 * 3 => 3/6 or 1/2
Rolling a number <5: This refers to number 1-4. So, 1/6 * 4 = 4/6 or 2/3
Rolling an odd number: This refers to three odd numbers (i.e., 1, 3, 5). So that's 1/6 * 3 => 3/6 or 1/2
Rolling a number divisible by 3: There are two numbers divisible by 3, which are 3 & 6. So, 1/6 * 2 => 2/6 or 1/3
Order of events:
(9) Rolling a number <7: 6/6
(8) Rolling a number other than 6: 5/6
(7) Rolling a number <5: 4/6
(6) Rolling an even number: 3/6
(5) Rolling an odd number: 3/6
(4) Rolling a number >4: 2/6
(3) Rolling a number divisible by 3: 2/6
(2) Rolling a 5: 1/6
(1) Rolling an 8: 0/6
As you can see, some have the same values, we can't do anything about that; it simply is.
PS To answer that part where they asked "how many of the six possible results...", simply put the numerator. If you include the denominator, that makes it a probability.