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An experiment succeeds twice as often as...

An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be atleast 4 successes.

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The probability of success is twice the probability of failure
Let the probability of failure be `x`
`therefore` probability of success `=2x`
`x+2 x=1`
` Rightarrow 3 x=1 `
`Rightarrow x=frac{1}{3}`
` therefore 2 x=frac{2}{3} `
Let `p=frac{1}{3} and q=frac{2}{3}`
...
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