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January 3rd, 2011, 10:07 AM  #1 
Newbie Joined: Jan 2011 Posts: 1 Thanks: 0  Probability issue
I have been trying desperately to solve this task, unfortunately I had no success whatsoever. Here is the task: "In a certain experience the probability of success is"P" (0<P<1). It's known that if all four tests are executed then the probability of all of them to succeed is multiply 16 from the probability that all four experiences will fail.[color=#FF0000] A: Find P[/color]." final result is : 2\3 So I was able to calculate according to Bernoulli's table and get this equation ; [color=#0000FF]16P*(1p)^4=1P^4*(1p)^0[/color] ^=Power. Can any one please help me solving this whole task please? 
January 3rd, 2011, 05:16 PM  #2 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: Probability issue
You run the experiment (not "experience" — that word is not always a correct translation of expérience) four times. Chance of four independent successes: p? Chance of four independent failures: (1p)? So the equation is: p? = 16 (1p)? Take the fourth root of both sides (and we know both p and 1p are positive): p = 2 (1p) p = 2  2p etc 

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