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Four persons independently solve a certain problem correctly with proabilities `1/2,3/4,1/4,1/8.` Then the probability that the problem is solved correctly by at least one of them is

A

`235/256`

B

`21/256`

C

`3/256`

D

`253/256`

Text Solution

Verified by Experts

The correct Answer is:
A
P (at least one of them solves correctly) = 1 -P (none of them solves correctly)
`=1-(1/2xx1/4xx3/4xx7/8)=235/256`
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