SOLUTION: Suppose an experiment has only two outcomes, e1 and e2, where p(e1)= p and p(e2)= p^2. What is p?

Question 706469: Suppose an experiment has only two outcomes, e1 and e2, where p(e1)= p and p(e2)= p^2. What is p?

Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

clearly in this space .... you solve for

....use quadratic formula

...note that , and

solution:

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose an experiment has only two outcomes, e1 and e2, where p(e1)= p and p(e2)= p^2. What is p?
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Equation:
p + p^2 = 1
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p^2 + p -1 = 0
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Quadratic Formula:
p = [-1 +- sqrt(1-4*1*-1)]/2
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To get a positive answer:
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p = [-1 +sqrt(5)]/2
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p = 0.6180
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cheers,
Stan H.
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