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January 3rd, 2011, 10:07 AM   #1
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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*(1-p)^4=1P^4*(1-p)^0[/color]
^=Power.
Can any one please help me solving this whole task please?
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January 3rd, 2011, 05:16 PM   #2
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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: (1-p)?

So the equation is:
p? = 16 (1-p)?
Take the fourth root of both sides (and we know both p and 1-p are positive):
p = 2 (1-p)
p = 2 - 2p
etc
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