Grades 11-12 Video Solutions 2021-video 2021 11-12/30

Video Transcription

Video Summary

In this game, player A wins by getting three points ahead. A is currently one point ahead, making the score 1-0. Each point has a 50% chance of going to either player. The problem involves calculating the probability that A will ultimately win. Initially, A could win or lose the next point, leading to different scenarios. By analyzing the sequence of possible wins and losses, the probability formula is derived considering certain win outcomes and tied situations. The calculated probability of A winning the game is 2/3, as derived through these probability considerations. The answer is option B, 2/3.

Keywords

probability

game theory

player A

winning chances

calculation