you roll a number cube numbered 1 to 6.

P(a number divisible by 4)

I think 3/6 or 1/2

1 2 3 4 5 6

the only one divisible by 4 is 4
1/6

won't 2 go into 4

yes, but divisible by 4 means x/4 = whole number

4 is divisible by 2
BUT
2 is NOT divisible by 4

To determine the probability of rolling a number divisible by 4 on a number cube (with numbers ranging from 1 to 6), we need to find the number of favorable outcomes (rolling a number divisible by 4) and divide it by the total number of possible outcomes (rolling any number on the cube).

In this case, the favorable outcomes are rolling the numbers 4 and 6 since they are both divisible by 4. Therefore, there are 2 favorable outcomes.

The total number of possible outcomes is the total number of numbers on the cube, which is 6 in this case.

So, the probability of rolling a number divisible by 4 is found by dividing the number of favorable outcomes (2) by the total number of possible outcomes (6):

P(a number divisible by 4) = favorable outcomes / total outcomes = 2/6 = 1/3.

Hence, the correct probability is 1/3, not 3/6 or 1/2.