jee-main 2025 Q15

jee-main · India · session1_24jan_shift1 Conditional Probability Sequential/Multi-Stage Conditional Probability
$A$ and $B$ alternately throw a pair of dice. $A$ wins if he throws a sum of 5 before $B$ throws a sum of 8, and $B$ wins if he throws a sum of 8 before $A$ throws a sum of 5. The probability that $A$ wins if $A$ makes the first throw, is
(1) $\frac{8}{17}$
(2) $\frac{9}{19}$
(3) $\frac{9}{17}$
(4) $\frac{8}{19}$ 
$A$ and $B$ alternately throw a pair of dice. $A$ wins if he throws a sum of 5 before $B$ throws a sum of 8, and $B$ wins if he throws a sum of 8 before $A$ throws a sum of 5. The probability that $A$ wins if $A$ makes the first throw, is\\
(1) $\frac{8}{17}$\\
(2) $\frac{9}{19}$\\
(3) $\frac{9}{17}$\\
(4) $\frac{8}{19}$
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25