You spin the spinner(1-4) once and roll the number cube(1-6) once.
Find the probability that the spinner stops on the same
number that you roll with the number cube.
There are 4*6 = 24 possible outcomes.
only 4 of them are successes
so, ...
Well, let's think about this. The spinner has 4 numbers, and the number cube has 6 numbers. So, there are 4 possible outcomes for the spinner and 6 possible outcomes for the number cube. To find the probability of both stopping on the same number, we need to find the number of favorable outcomes and divide it by the total number of possible outcomes.
Since the spinner and the number cube are independent events, the probability of both stopping on the same number is equal to the product of their individual probabilities. So, the probability of the spinner stopping on the same number that you roll with the number cube is (1/4) * (1/6) = 1/24.
In other words, there's a 1 in 24 chance for the spinner to stop on the same number as the number cube. Good luck with that... you'll need it!
To find the probability that the spinner stops on the same number that you roll with the number cube, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The spinner has 4 numbers (1, 2, 3, 4), and the number cube has 6 numbers (1, 2, 3, 4, 5, 6).
To calculate the number of favorable outcomes, we need to find the numbers that match between the spinner and the number cube. As there are 4 numbers on the spinner, and each number has an equal chance of being rolled on the number cube, the probability of getting a match is 1/4.
Therefore, the probability that the spinner stops on the same number as you roll with the number cube is 1/4.
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 number of possible outcomes and the favorable outcomes.
First, let's find the total number of possible outcomes. The spinner has 4 possible numbers (1, 2, 3, and 4) while the number cube has 6 possible numbers (1, 2, 3, 4, 5, and 6). To find the total number of possible outcomes, we multiply the number of options on the spinner (4) by the number of options on the number cube (6). Thus, the total number of possible outcomes is 4 multiplied by 6, which equals 24.
Next, let's determine the number of favorable outcomes. In this case, the favorable outcomes are the situations where the spinner stops on the same number that you roll with the number cube. For example, if you roll a 3 on the number cube and the spinner stops on the number 3, that would be a favorable outcome. There are 4 scenarios where the spinner and number cube could match: (1,1), (2,2), (3,3), and (4,4).
Now, to find the probability, we divide the number of favorable outcomes by the total number of possible outcomes. So, we divide 4 (the number of favorable outcomes) by 24 (the total number of possible outcomes):
Probability = Favorable outcomes / Total possible outcomes = 4 / 24 = 1 / 6
Therefore, the probability that the spinner stops on the same number that you roll with the number cube is 1/6.