To determine the probability of moving forward an even number of spaces, we need to consider the possible outcomes for both spinning the pointer and tossing the cube.
Let's assume that the pointer has two options: "forward" or "back" and that when tossing the cube, the numbers 1, 2, 3, 4, 5, and 6 can occur with equal likelihood.
To move forward an even number of spaces, the following combinations are possible:
1. Moving forward 0 spaces (spinning "back" and tossing a 1, 3, or 5).
2. Moving forward 2 spaces (spinning "forward" and tossing a 2, 4, or 6).
3. Moving forward 4 spaces (spinning "back" and tossing a 2 or 4).
4. Moving forward 6 spaces (spinning "forward" and tossing a 6).
Out of these four favorable combinations, the total number of possible outcomes is 2 (forward or back option for the pointer) multiplied by 6 (possible numbers on the cube), which equals 12.
Therefore, the probability of moving forward an even number of spaces is 4 (favorable combinations) divided by 12 (total combinations), which simplifies to 1/3 or approximately 0.33.
Sam and Eric are playing a boardgame. They spin a pointer to determine whether to move forward or back. they toss a cube to determine how many spaces to move. What is the probability of moving forward an even number of spaces
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