Question

When rolling a number cube numbered 1 to 6, how would you describe the chances of rolling a number greater than or equal to 3 versus rolling a number less than 3? A. more likely to roll a number greater than or equal to 3 B. more likely to roll a number less than 3 C. equally likely events D. none of the above

Answer 1

A. more likely to roll a number greater than or equal to 3

Explanation:

Take a look at the probabilities for each:

Greater than or equal to 3:

You can roll a 3, 4, 5, or 6

Less than 3:

You can roll a 1 or a 2.

To find probability, divide how many ways there are to get what you want by the number of total ways to get something at all.

For freater than or equal to 3:

You can roll a 3, 4, 5, or 6 to fulfill this, so 4 things that you want.

You could roll a 1, 2, 3, 4, 5, or 6 on this number cube, so 6 possibilities.

Divide 4 by 6, and you get 2/3.

For less than 3:

You can roll a 1 or a 2 to fulfill this, so 2 things you want.

Divide by 6 (again) total possibilities, and you get 1/3.

2/3 is more than 1/3, so the first possibility is more likely than the second.