Suppose that baseball team A is better than baseball team B. Team A is enough be

Question

Suppose that baseball team A is better than baseball team B. Team A is enough better that it has a 2/3 probability of beating team B in any one game, and this probability remains the same for each game, regardless of the outcomes of previous games. Suppose that team A and team B play a best-of-three series, meaning that the first team to win two games wins the series.

Qn 1.Which of the following describes how a six-sided die could be used to simulate one repetition of a best-of-three series between teams A and B?

1)

2)

3)

4)

Qn 2. Of the methods listed below, select which would be the best use of a six-sided die to approximate the probability that team A would win the best-of-three series against team B.

1)

2)

3)

4)

Qn 3.

It turns out that the probability is 0.741 that team A would win this best-of-three series against team B. What does this probability mean? Select all that apply.

2)

3)

4)

5)

1)

Let rolls 1, 2, and 3 represent team A winning a game and 4, 5, and 6 represent team B winning a game. Roll the die and record who wins the game until one team has won two games (two or three times).

Explanation / Answer

(a) The probability of winning a match by team A is equal to 2/3 then in order to get a six-sided die be used to simulate one repetition of a best-of-three series between teams A and B , it will be the best

Let rolls 1 and 2 represent team B winning a game and 3-6 represent team A. Roll the die and record who wins the game until one team has won two games (two or three times). Repeat the simulation a large number of times (say 1000) and record how often team A wins divided by the number of repetitions.

(c) The correct option should be last one i.e that probability of .741 means that in the long run if A and B repeatedly play a best of three series then A will win 74.1 % of those.

TY!

if we roll 1 and 2 represent team B winning a game and 3-6 represent team A and rolling itand recording who wins the game until one team has won two games (two or three times).

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