You spin the spinner once (1-6) and roll a number cube (1-6) once. Find the probability that the spinner stops on the same number that you roll with the number cube.

Ah, the thrill of spinning and rolling! Let's calculate the probability of landing on the same number, shall we?

The spinner has 6 equal sections, numbered 1 to 6. The number cube also has 6 sides, also numbered 1 to 6. Since both have an equal number of options, the total number of possible outcomes is 6 x 6 = 36.

Now, let's think about the favorable outcomes. We want to land on the same number from both the spinner and the number cube. We have 6 favorable outcomes: 1-1, 2-2, 3-3, 4-4, 5-5, and 6-6.

So, the probability of landing on the same number is 6 favorable outcomes / 36 possible outcomes, which simplifies to 1/6.

So, there you have it! The probability of the spinner stopping on the same number that you roll with the number cube is 1/6. Good luck, and may the odds be in your favor!

To find the probability that the spinner stops on the same number as the number rolled with the cube, we need to determine the number of successful outcomes (favorable outcomes) and the total number of possible outcomes.

The spinner has 6 equally likely outcomes (numbers 1 through 6), and the number cube also has 6 equally likely outcomes (again, numbers 1 through 6).

Therefore, the total number of possible outcomes is 6 x 6 = 36.

Now, let's consider the favorable outcomes:

If the number rolled on the cube is 1, the spinner needs to stop on 1.
If the number rolled on the cube is 2, the spinner needs to stop on 2.
If the number rolled on the cube is 3, the spinner needs to stop on 3.
If the number rolled on the cube is 4, the spinner needs to stop on 4.
If the number rolled on the cube is 5, the spinner needs to stop on 5.
If the number rolled on the cube is 6, the spinner needs to stop on 6.

So, there are 6 favorable outcomes.

Therefore, the probability that the spinner stops on the same number that you roll with the number cube is 6/36, which reduces to 1/6 or approximately 0.1667.

To find the probability that the spinner stops on the same number that you roll with the number cube, we need to determine the total outcomes and the favorable outcomes.

Total outcomes: Since the spinner has 6 equally likely outcomes (numbers 1-6) and the number cube also has 6 equally likely outcomes (numbers 1-6), the total possible outcomes can be found by multiplying the number of outcomes for each (6 x 6 = 36).

Favorable outcomes: The spinner will stop on the same number as the number cube if both the spinner's outcome and the number cube's outcome are the same. This can occur in 6 different ways, as each number on the spinner can match with the same number on the number cube.

Therefore, the probability that the spinner stops on the same number that you roll with the number cube is given by the number of favorable outcomes divided by the total number of outcomes:

Probability = Favorable outcomes / Total outcomes
Probability = 6 / 36
Probability = 1 / 6

So, the probability that the spinner stops on the same number that you roll with the number cube is 1/6 or approximately 0.1667.

doesn't matter what the first roll is, but there are 6 ways to match it

so prob(of your case) = 1/6