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July 14th, 2017, 01:06 PM  #1 
Newbie Joined: Jul 2017 From: North Carolina Posts: 2 Thanks: 0  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? 
July 14th, 2017, 01:56 PM  #2 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,413 Thanks: 717 
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. 
July 14th, 2017, 02:22 PM  #3 
Newbie Joined: Jul 2017 From: North Carolina Posts: 2 Thanks: 0  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? 
July 14th, 2017, 04:09 PM  #4 
Senior Member Joined: Sep 2015 From: Southern California, USA Posts: 1,413 Thanks: 717  

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