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?
To find the probability that the result is a multiple of 3 and a multiple of 4, we need to determine the total number of favorable outcomes and divide it by the total number of possible outcomes.
STEP 1: Determine the total number of favorable outcomes.
The multiples of 3 and 4 between 1 and 12 are 12, 6, and 3. So there are three favorable outcomes.
STEP 2: Determine the total number of possible outcomes.
The spinner has 12 equal areas, so there are 12 possible outcomes.
STEP 3: Calculate the probability
The probability is calculated by dividing the number of favorable outcomes by the number of possible outcomes.
Probability = Number of Favorable Outcomes / Number of Possible Outcomes
In this case, the probability is 3/12, which simplifies to 1/4.
Therefore, the probability that the spinner will result in a number that is a multiple of 3 and a multiple of 4 is 1/4 or 25%.
To find the probability of getting a multiple of 3 and a multiple of 4 on a spinner with 12 equal areas, we need to determine how many outcomes satisfy both conditions and divide that by the total number of possible outcomes.
The multiples of 3 on the spinner are 3, 6, 9, and 12. The multiples of 4 are 4 and 12. The only number that is both a multiple of 3 and a multiple of 4 is 12.
So, there is only one outcome that satisfies both conditions. Since there are 12 equally likely outcomes in total, the probability of getting a multiple of 3 and a multiple of 4 is:
1/12
Therefore, the probability is 1 out of 12 or approximately 0.0833.
It says that it must be a multiple of 3 and a multiple of 4, so list out the multiples of 3 and 4 going up to 12 and see where they overlap.
This is the first step. I'm sure you can figure it out from there.