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A problem in mathematics is given to three students `A ,B ,C`and their respective probability of solving the problem is 1/2, 1/3 and1/4. Probability that the problem is solved is`3//4`b. `1//2`c. `2//3`d. `1//3`A. `3//4`B. `1//2`C. `2//3`D. `1//3`

Answer» Correct Answer - A
`P(A)=1/2,P(B)=1/3,and P(C)=1/4`
`thereforeP(barA)=1-1/2=1/2,P(barB)=1-1/3=2/3`
`P(barC)=1-1/4=3/4`
Therefore, the required probability is
`1-P(barA)P(barB)P(barC)=1-1/2xx2/3xx3/4=1-1/4=3/4`


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