Consider a 3 game tournament between two teams Assume that every game results in either a win or loss The team that wins two or more games wins the seriesGATE CSE 2015

The Eduladder is a community of students, teachers, and programmers just interested to make you pass any exams. So we solve previous year question papers for you.
See Our team
Wondering how we keep quality?
Got unsolved questions?

Hey, We have just launched eduladder videos.Looking for creators and contributors Read Guideline
gate-cse-2015-->View question

Consider a 3 game tournament between two teams. Assume that every game results in either a win or loss. The team that wins two or more games wins the series.GATE CSE 2015

The probability for wining the first game for both teams is 1/2. The probability for a team to win a game after a win is 2/3. The probability of wining a game after a loss is 1/3. Note that the effect of only previous game is considered. What is the probability for a team to win the series after loosing first game.
A=1/9
B=1/6
C=2/9
D=1/3

By:milan-ransingh

Taged users:

Likes:
Be first to like this question

Dislikes:
Be first to dislike this question

Answer: (C) A team has 3 chances(games) to win tournament. To win the tournament, a team must win atleast 2 games. Acc to question, Team looses first chances. Now, to win, it is must to win left 2 games. Probability to win the 2nd game : 1/3 (as previous game was a loss) Probability to win the 3rd game : 2/3 (as previous game was a win) So, Probability to win the tournament = 1/3 * 2/3 = 2/9
prajwalamv

Likes:
Be first to like this answer

Dislikes:
Be first to dislike this answer