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July 14th, 2017, 01:06 PM   #1
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Theoretical probability

A survey of favorite colors was given to 40 people. The choices were red, yellow, blue,
green, and orange.

• What is the theoretical probability of getting blue?
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July 14th, 2017, 01:56 PM   #2
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without more information this question can't really be answered.

If you assume that the colors are equally popular then you can say that the probability of getting blue is $\dfrac 1 5$

But there's no reason to assume ahead of time that the colors are equally popular. If you knew that ahead of time there would be no reason to take the survey.
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July 14th, 2017, 02:22 PM   #3
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Theoretical probability

That's what I thought. We can assume that each color has an 8/40 chance of being selected, which reduces to 1/5.

If for example, 10 people chose blue from a total of 40 surveys, then the experimental probability would be 10/40 = 1/4, right?
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July 14th, 2017, 04:09 PM   #4
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Quote:
Originally Posted by brake4country View Post
That's what I thought. We can assume that each color has an 8/40 chance of being selected, which reduces to 1/5.

If for example, 10 people chose blue from a total of 40 surveys, then the experimental probability would be 10/40 = 1/4, right?
yes
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