Statistics simulation question

Question

The World Series ends when one team wins 4 games. Suppose that sports analysts consider one team to be stronger and give them a 60% chance of winning any individual game. Explain how you would use randomly generated numbers from 0 to 9 to model the likelihood that the underdog team will win the World Series that year?

Answer 1

As there are 10 numbers from 0 to 9, in each random selection, consider selection of 0 to 3 the underdog winning and the selection of 4 to 9.

Then, each round consists of 7 random generations from 0 to 9. The underdog wins if 4 or more of the random number generations is a number between 0 and 3.

Then, the estimated probability that the underdog wins is the number of rounds in which the underdog wins divided by the total number of rounds. As the number of rounds goes to infinity, the probability estimate converges on the true probability (of course, this depends on the "randomness" of the random number generator).