Probabilities in an infinite game [Hinglish] | Probability | Grade 12 | Math | Khan Academy

Описание: In this video, we analyze the probabilities of winning a game that could potentially continue infinitely. We'll focus on a classic example where two players, A and B, take turns throwing a die, with the first to roll a '6' declared the winner. We will calculate their respective probabilities of winning using two different powerful methods: setting up a recursive probability equation, and summing an infinite geometric series.

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! (https://www.khanacademy.org/math/ncer...)

Timestamps:
00:00 Problem: A and B throw a die alternatively; first to get a '6' wins. A starts.
01:30 Method 1: Recursive Probability. Setting up an equation for A's win probability.
05:00 Method 2: Infinite Geometric Progression. Summing the probabilities of A winning on the 1st, 3rd, 5th... throw.
05:45 Finding the respective probabilities of A and B winning.

Khan Academy India is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We have videos and exercises that have been translated into multiple Indian languages, and 15 million people around the globe learn on Khan Academy every month.
Support Us: https://india.khanacademy.org/donate

Created by
Ashish Gupta