There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?
the answer 0.5 who said 12 was right?
To find the probability that the result is a multiple of 3 and a multiple of 4, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the number of favorable outcomes:
The multiples of 3 are: 3, 6, 9, and 12.
The multiples of 4 are: 4, 8, and 12.
The only number that is a multiple of 3 and 4 is 12. Therefore, there is only 1 favorable outcome.
Step 2: Determine the total number of possible outcomes:
Since there are 12 equal areas on the spinner, there are 12 possible outcomes.
Step 3: Calculate the probability:
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 12
Therefore, the probability that the result is a multiple of 3 and a multiple of 4 is 1/12.
To find the probability of the spinner landing on a multiple of 3 and a multiple of 4, we need to determine how many favorable outcomes there are and the total number of possible outcomes.
First, let's identify the multiples of 3 among the numbers 1 through 12: {3, 6, 9, 12}.
Next, let's identify the multiples of 4 among the numbers 1 through 12: {4, 8, 12}.
The numbers that are both multiples of 3 and multiples of 4 are: {12}.
Therefore, there is only one favorable outcome.
The total number of possible outcomes is 12 because that's the number of equally likely numbers on the spinner.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Favorable Outcomes / Total Outcomes
Probability = 1 favorable outcome / 12 total outcomes
Probability = 1/12 ≈ 0.083
So, the probability of the spinner landing on a multiple of 3 and a multiple of 4 is approximately 0.083.
A multiple of 3 and a multiple of 4 implies it can only be 12.
Since you only have the numbers from 1 to 12,
the prob(the 12) = 1/12