jee-advanced 2013 Q42

jee-advanced · India · paper1 Probability Definitions Probability Using Set/Event Algebra
Four persons independently solve a certain problem correctly with probabilities $\frac { 1 } { 2 } , \frac { 3 } { 4 } , \frac { 1 } { 4 } , \frac { 1 } { 8 }$. Then the probability that the problem is solved correctly by at least one of them is
(A) $\frac { 235 } { 256 }$
(B) $\frac { 21 } { 256 }$
(C) $\frac { 3 } { 256 }$
(D) $\frac { 253 } { 256 }$
Four persons independently solve a certain problem correctly with probabilities $\frac { 1 } { 2 } , \frac { 3 } { 4 } , \frac { 1 } { 4 } , \frac { 1 } { 8 }$. Then the probability that the problem is solved correctly by at least one of them is\\
(A) $\frac { 235 } { 256 }$\\
(B) $\frac { 21 } { 256 }$\\
(C) $\frac { 3 } { 256 }$\\
(D) $\frac { 253 } { 256 }$