The World Series ends when one team wins 4 games. Suppose that before one particular series, sports analysts considered one team to be stronger and gave them a 60% chance of winning any individual game.

Suppose an avid baseball fan wants to model this World Series and calculate the chance that the underdog team will win.

a) Random numbers from 0 to 9 are used to model the winner for a single game. Of the following options, what range of numbers would accurately represent the stronger team winning a single game? [ Select ] ["1-5", "0-6", "0-5", "6-9"]

b) If 20 trials are generated and the simulation shows that the underdog team won the Series in 4 of those trials, what is the likelihood that the underdog team will win the World Series based on this simulation? [ Select ] ["20%", "25%", "80%", "4%"]

Suppose a student is about to take a multiple-choice quiz that they are completely unprepared for. The quiz consists of 6 questions and each question has five possible answers to choose from.

To simulate this scenario, I ran twelve trials in which I generated 6 random numbers between 1 and 5. I assigned number 1 to represent a correct guess and numbers 2-5 to represent an incorrect guess. The outcome of each trial is the number of questions the student got correct on the quiz.

Number of Questions Number of Questions Trial Component Trial Correct Component Correct [1 5 3 4 2 5) 1 7 (3 2 1 4 4 5] 1 2 (1343 5 3) 1 8 (231134) 2 3 (5 3 4 4 4 3) 9 (1 3 5 4 4 2] (213541} 2 10 (512324) 5 (2 2 2 4 1 4) 1 11 (3 1 2 5 2 1} 2 6 (2 525 53) 12 (1 14321}