Dice probability

Question

In a game of chutes and latters, suppose you need a 4 to win the game. You are rolling a 6-faced fair die. What is the probability that you will win the gam on the third try?

Answer 1

This is slightly more complicated than it first appears. I've been working on making Math animations with Manim, and used this question for practice.

Please take a look at this video: https://youtu.be/JrHXSn9J1Ts

Answer 2

P(3rd try) = P(not 4) x P(not 4) x P(4) = 5/6 * 5/6 *1/6

Please consider a tutor.

If you are actually asking P(by the 3rd try) = 1-P(no 4, 3 times) = 1 - (5/6)³

Please consider a tutor. Take care.