There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun one time, what is the probability that the result is a multiple of 2 and a multiple of 5?
The first one is right
Multiples of 2:
2, 4, 6, 8, 10
Multiples of 5:
5, 10
Multiple of 2 AND multiple of 5:
the intersection of the sets
10
Number of acceptable values: 1
Number of possible values: 10
Probability: 1/10 or 0.1
wrong
To find the probability that the result of spinning the spinner is both a multiple of 2 and a multiple of 5, we need to determine the number of favorable outcomes (result that satisfies both conditions) and the total number of possible outcomes.
First, let's determine the number of favorable outcomes. A number is a multiple of both 2 and 5 if it is divisible by their least common multiple, which is 10. So, the favorable outcomes are the numbers 10 and 5.
Next, let's determine the total number of possible outcomes. Since the spinner has 10 equal areas, it means there are 10 possible outcomes. Each outcome has an equal chance of occurring.
Therefore, the probability of obtaining a result that is both a multiple of 2 and a multiple of 5 is the ratio of the number of favorable outcomes to the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 (the number of favorable outcomes) / 10 (the total number of possible outcomes)
Probability = 1/5 or 0.2
So, the probability that the result of spinning the spinner is both a multiple of 2 and a multiple of 5 is 0.2 or 1/5.
THe only number that is a multiple of 2 AND a multiple of 5 is the number 10
So you seek the probability of the spinner landing on the number 10
there is a one in 10 chance that this happens
1/10