jee-main 2019 Q90

jee-main · India · session2_09apr_shift1 Probability Definitions Probability Using Set/Event Algebra
Four persons can hit a target correctly with probabilities $\frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 1 } { 4 }$ and $\frac { 1 } { 8 }$ respectively. If all hit at the target independently, then the probability that the target would be hit, is
(1) $\frac { 25 } { 192 }$
(2) $\frac { 7 } { 32 }$
(3) $\frac { 1 } { 192 }$
(4) $\frac { 25 } { 32 }$
Four persons can hit a target correctly with probabilities $\frac { 1 } { 2 } , \frac { 1 } { 3 } , \frac { 1 } { 4 }$ and $\frac { 1 } { 8 }$ respectively. If all hit at the target independently, then the probability that the target would be hit, is\\
(1) $\frac { 25 } { 192 }$\\
(2) $\frac { 7 } { 32 }$\\
(3) $\frac { 1 } { 192 }$\\
(4) $\frac { 25 } { 32 }$