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There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 3 or a multiple of 4?

User TommyD
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Answer:

Okay, let's solve this step-by-step:

There is a spinner with 14 equal areas, numbered 1 through 14

We want to find the probability that the result is a multiple of 3 or a multiple of 4

There are 14 possible outcomes (numbers 1 through 14) when the spinner is spun.

Of these 14 numbers:

4 are multiples of 3: 3, 6, 9, 12

4 are multiples of 4: 4, 8, 12, 16

However, 12 is also a multiple of both 3 and 4, so we have counted it twice.

We need to subtract 1 from each to account for this:

Multiples of 3: 3

Multiples of 4: 4

So there are 3 possible multiples of 3 and 3 possible multiples of 4.

In total, there are 3 + 3 = 6 possible multiples of 3 or 4.

To calculate probability:

Probability = (Number of favorable outcomes) / (Total possible outcomes)

= 6 / 14

= 3/7

Converting to a percent: 3/7 = 42.9%

Rounded to the nearest whole percent: 43%

Therefore, the probability that the result is a multiple of 3 or a multiple of 4 is 43%.

Explanation:

User Apchester
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