The Probability of OutcomesDate: 20 Feb 1995 10:03:29 -0500 From: Anonymous Subject: Probability Hi, Could you help with this problem? In the sample space for a probability experiment, outcome A is twice as likely as outcome B. Outcome C is two-thirds as likely as outcome B. Outcome C is twice as outcome D. Find the probability of each outcome in the sample space. Sample Space {A, B, C, D} Probability | | | | Any consideration given this request will be appreciated. BilFred439@aol.com Date: 20 Feb 1995 10:40:34 -0500 From: Dr. Ken Subject: Re: Probability Hello there! If the four outcomes, A, B, C, and D are the only possible outcomes for the experiment, then we can do this problem. Let's call the probability of outcome D by the letter, d. Then we have c=2d, c=2b/3 so b=3d, and a=2b so a=6d. Because the sum of the probabilities of all the different outcomes must be 1, we have a+b+c+d=6d+3d+2d+d=12d=1, d=1/12. Thus, we can plug this value back into the expressions we got for a in terms of d, b in terms of d, and c in terms of d, to find out what the individual probabilities are. I hope this helps! -Ken "Dr." Math |
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