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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

`8748xx10^(-5)`

B

`1458xx10^(-5)`

C

`1458xx10^(-6)`

D

`41xx10^(-6)`

Text Solution

Verified by Experts

The correct Answer is:
B
The probability that a person die from the disease is 10%
`p=(10)/(100)=(1)/(10) and q=(9)/(10)`
Total number of patients , n=6
`therefore` Required probability
`=""^(6)C_(3)((1)/(10))^(3) ((9)/(10))^(3)`
`=(6.5.4)/(3.2.1)xx(1)/(1000)xx(9x9x9)/(1000)`
`=(2)/(10^(5))xx729=1458xx10^(-5)`
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