Your Brother Says He Is Better Than You at Playing

Multiple Choice

Your brother says he is better than you at playing some video game. You play 6 games and he wins 4 of them. He says that this proves he is a better player. You have studied statistics and you want to determine the probability of anyone winning at least 4 games out of 6 just by chance if you are both equally as skilled. Which of the following would provide an accurate estimate of that probability?

A) Take 6 cards and write "win" on 4 of them and "lose" on 2 of them. Shuffle the cards and place them in two piles and determine if one pile has more "win" cards than the other. Repeat this many times. Calculate the proportion of times one pile had more wins than the other.
B) Toss a six-sided die many times and calculate the proportion of times the number 4 or more lands face up.
C) Flip a coin 6 times and count the number of heads. Repeat this many times. Calculate the proportion of your simulated results that gave 4 or more heads.