Question

sam and erica are playing a board game.
they spin a pointer to determine whether to move forward or back.
they toss a number cube to determine how many spaces to move.
what is the probability of moving forward an even number of spaces

a. 1/6
b. 1/2
c. 1/3
d. 1/4

Answer 1

To determine the probability of moving forward an even number of spaces when tossing a number cube (which has the numbers 1 through 6), we first need to identify which numbers on the cube are even.

The even numbers on a standard six-sided die (number cube) are 2, 4, and 6. Thus, there are 3 outcomes that result in an even number of spaces:

- Rolling a 2
- Rolling a 4
- Rolling a 6

Since there are a total of 6 possible outcomes when rolling a number cube, the probability of rolling an even number is calculated as the number of favorable outcomes (even numbers) divided by the total possible outcomes:

\[
\text{Probability of rolling an even number} = \frac{\text{Number of even outcomes}}{\text{Total outcomes}} = \frac{3}{6} = \frac{1}{2}
\]

Thus, the probability of moving forward an even number of spaces is \( \frac{1}{2} \), which corresponds to option **b.**