jee-advanced 2003 Q9

jee-advanced · India · mains Conditional Probability Bayes' Theorem with Production/Source Identification
A is targeting to $\mathrm { B } , \mathrm { B }$ and C are targeting to A . Probability of hitting the target by $\mathrm { A } , \mathrm { B }$ and C are $2 / 3,1 / 2$ and $1 / 3$ respectively. If A is hit then find the probability that B hits the target and C does not.
The line $\frac { x - 4 } { 1 } = \frac { y - 2 } { 1 } = \frac { z - k } { 2 }$ lies completely in the plane $2 x - 4 y + z = 7$ for 
A is targeting to $\mathrm { B } , \mathrm { B }$ and C are targeting to A . Probability of hitting the target by $\mathrm { A } , \mathrm { B }$ and C are $2 / 3,1 / 2$ and $1 / 3$ respectively. If A is hit then find the probability that B hits the target and C does not.
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20