There is a spinner with 11 equal areas,numbered 1 through 11. Of the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?
m2 = {2,4,6,8,10)
m5 = {5,10}
Number( m2 OR m5) = 6
prob(your thing) = 6/11
To find the probability of getting a multiple of 2 or a multiple of 5 when spinning the spinner, we need to determine the total number of favorable outcomes and the total number of possible outcomes.
First, let's find the multiples of 2 between 1 and 11: 2, 4, 6, 8, 10. This gives us a total of 5 multiples of 2.
Next, let's find the multiples of 5 between 1 and 11: 5, 10. This gives us a total of 2 multiples of 5.
However, we need to be careful not to count the number 10 twice since it is both a multiple of 2 and a multiple of 5. Therefore, we will only count it once.
So, when we combine the multiples of 2 and the multiples of 5, we have a total of 6 unique outcomes that are either a multiple of 2 or a multiple of 5.
The total number of possible outcomes is 11 since there are 11 equal areas on the spinner.
Now, let's calculate the probability: Probability = (Number of favorable outcomes) / (Number of possible outcomes) = 6/11.
Therefore, the probability that the result is a multiple of 2 or a multiple of 5 when spinning the spinner one time is 6/11.
To find the probability that the result is a multiple of 2 or a multiple of 5, we need to calculate the number of favorable outcomes and divide it by the total number of possible outcomes.
Step 1: Determine the favorable outcomes:
- Numbers that are multiples of 2: 2, 4, 6, 8, 10
- Numbers that are multiples of 5: 5, 10
Note that the number 10 appears in both lists, but we only count it once.
Step 2: Calculate the total number of possible outcomes:
Since there are 11 numbers on the spinner, the total number of possible outcomes is 11.
Step 3: Calculate the probability:
The probability is given by the number of favorable outcomes divided by the total number of possible outcomes:
Number of favorable outcomes = 6 (2, 4, 6, 8, 10, 10)
Total number of possible outcomes = 11
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 6 / 11
Therefore, the probability that the result is a multiple of 2 or a multiple of 5 is 6/11.