A and B throw a pair of dice alternately till one of them gets the sum of the numbers as multiples of 6 and wins the game. If A starts first, find the probability of B winning the game.

 

Answers (1)
S safeer

Total number of possible outcomes = 36

Sum of number as multiple of six = { (1,5)(2,4),(3,3),(4,2),(5,1),(6,6)}

\\ $ $ P(\text {Getting sum as multiple of } 6)=\frac{6}{36} =\frac{1} {6}

\\ $ $ P(\text {NOt getting sum as multiple of } 6)=1-\frac{1}{6} =\frac{5} {6} \\

\\ $ $ P(\text {A winning the game } )=\frac{1}{6} + \frac{5}{6} \times \frac{5} {6} \times \frac{1}{6} +\frac{5}{6} \times \frac{5} {6} \times \frac{5}{6} \times \frac{5}{6} \times \frac{1} {6} + .....\\\\ = \frac{\frac{1}{6}}{1-\frac{25}{36}} \\\\ = \frac{6}{11}

\\ $ $ P(\text {B winning the game } )=1-P($ A winning the game $) \\\ = 1-\frac{6}{11} = \frac{5}{11}

Preparation Products

Knockout NEET May 2023 (Easy Installments)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 5499/-
Buy Now
Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions