There is a spinner with 9 equal areas, numbered 1 through 9. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 3?
thanks!
is it 2/3?
To find the probability that the spinner's result is a multiple of 2 and a multiple of 3, we need to determine the number of favorable outcomes and the total number of possible outcomes.
There are 9 possible outcomes (numbered 1 through 9), and we need the result to be a multiple of both 2 and 3.
The multiples of 2 on the spinner are 2, 4, 6, and 8.
The multiples of 3 on the spinner are 3, 6, and 9.
The numbers that are both multiples of 2 and 3 on the spinner are only 6.
Therefore, there is only 1 favorable outcome, which is getting a 6 as the result.
The probability of getting a multiple of 2 and a multiple of 3 is given by:
Probability = Favorable outcomes / Total outcomes
Probability = 1 / 9
Therefore, the correct probability is 1/9, not 2/3.
To find the probability that the result of spinning the spinner is both a multiple of 2 and a multiple of 3, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Determine the number of favorable outcomes:
- A multiple of 2: Numbers 2, 4, 6, and 8 are multiples of 2.
- A multiple of 3: Numbers 3 and 9 are multiples of 3.
- Numbers that are multiples of both 2 and 3: The only number that satisfies this condition is 6.
Therefore, there is one favorable outcome, which is the number 6.
2. Determine the total number of possible outcomes:
There are 9 equal areas on the spinner, numbered 1 through 9.
Therefore, there are 9 possible outcomes.
3. Calculate the probability:
To calculate the probability, 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 / 9
So, the probability that the result of spinning the spinner will be both a multiple of 2 and a multiple of 3 is 1/9.