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A die is thrown 6 times. If "getting an ...

A die is thrown `6` times. If "getting an odd number" is a success, what is the probability of
(i) `5` successes?
(ii) at least `5` successes?
(iii) at most `5` successes?

Text Solution

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A die is thrown `6` times.
In binomial distribution,
`P(X=x) = ^nC_xq^(n-x)p^x`
`n=` number of throws
`p=` probability of getting odd number
`q=1-p`

`n=6`
`p=frac{3}{6}= frac{1}{2}`
...
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