jee-main 2017 Q90

jee-main · India · 08apr Independent Events
Three persons $\mathrm { P } , \mathrm { Q }$ and R independently try to hit a target. If the probabilities of their hitting the target are $\frac { 3 } { 4 } , \frac { 1 } { 2 }$ and $\frac { 5 } { 8 }$ respectively, then the probability that the target is hit by P or Q but not by R is:
(1) $\frac { 39 } { 64 }$
(2) $\frac { 21 } { 64 }$
(3) $\frac { 9 } { 64 }$
(4) $\frac { 15 } { 64 }$
Three persons $\mathrm { P } , \mathrm { Q }$ and R independently try to hit a target. If the probabilities of their hitting the target are $\frac { 3 } { 4 } , \frac { 1 } { 2 }$ and $\frac { 5 } { 8 }$ respectively, then the probability that the target is hit by P or Q but not by R is:\\
(1) $\frac { 39 } { 64 }$\\
(2) $\frac { 21 } { 64 }$\\
(3) $\frac { 9 } { 64 }$\\
(4) $\frac { 15 } { 64 }$