the outcome of a random experiment results in either success or failure. if the probability of success is twice the probability of failure, then the probability of success is
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4
let probability of outcome of success= x
probability of outcome of failure=2x
x+2x=1
3x=1
x=1/3
probability of outcome of failure=2x
x+2x=1
3x=1
x=1/3
Answered by
8
total no of possible outcome is 2 (success and failure)
let us take the probability of failure as x
![\frac{x}{2} + \frac{2x}{2} = 1 \\ x + 2x = 2 \\ 3x = 2 \\2 x = \frac{2}{3} \\ x = \frac{1}{3} \frac{x}{2} + \frac{2x}{2} = 1 \\ x + 2x = 2 \\ 3x = 2 \\2 x = \frac{2}{3} \\ x = \frac{1}{3}](https://tex.z-dn.net/?f=+%5Cfrac%7Bx%7D%7B2%7D++%2B++%5Cfrac%7B2x%7D%7B2%7D++%3D+1+%5C%5C+x+%2B+2x+%3D+2+%5C%5C+3x+%3D+2+%5C%5C2+x+%3D++%5Cfrac%7B2%7D%7B3%7D++%5C%5C+x+%3D++%5Cfrac%7B1%7D%7B3%7D+)
let us take the probability of failure as x
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