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The records of a hospital show that 10% ...

The records of a hospital show that `10%` of the cases of a certain disease are fatal. If `6` patients are suffering from the disease, then the probability that only three will die is

A

`1458xx10^(-5)`

B

`1458xx10^(-6)`

C

`41xx10^(-6)`

D

`8748xx10^(-5)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)` Probability of disease is fatal `=p=10%`
`p=(10)/(100)=(1)/(10)`, `q=(9)/(10)`
Number of patients `=6`, Number of die cases `=3`
`:.` Probability that `3` will die
`="^(6)C_(3)((1)/(10))^(3)((9)/(10))^(3)=1458xx10^(-5)`
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