JEE Main 202524 JanuaryMorning Shift
- Exam
- JEE Main
- Year
- 2025
- Date
- 24 January
- Shift
- Morning Shift
- Subject
- Mathematics
- Chapter
- Probability
JEE Main 2025 · 24 January · Morning Shift · Mathematics · Probability
A and B alternately throw a pair of dice. A wins if he throws a sum...
and alternately throw a pair of dice. wins if he throws a sum of 5 before throws a sum of 8 , and wins if he throws a sum of 8 before throws a sum of 5 . The probability, that wins if A makes the first throw, is
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
For sum ' 5 ' \rightarrow(1,4),(2,3),(3,2) (4,1) \Rightarrow P(A)= For sum ' 5 ' \rightarrow(1,4),(2,3),(3,2) (4,1) \Rightarrow P(A)= For \begin{aligned} & (5,3),(6,2) \Rightarrow P(B)=\frac{5}{36} \\ & \begin{aligned} P(\bar{A})=\frac{32}{36} & , P(\bar{B})=\frac{31}{36}\end{aligned}\\ &\end{aligned}