Joel scores in 80% of his games. His team is starting the playoffs, and if they make it to the state championship, they will have played 5 games. Joel wants to determine the probability that he scores in 4 of the 5 games.
Which simulation design has an appropriate device and a correct trial?
A) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die four times.
B) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die five times.
C) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select four digits.
D) Using a table of random digits select a digit between 0 and 9. Let 0-7 represent Joel scoring and 8-9 represent Joel not scoring. Select five digits.
B?
Yes, the correct simulation design in this case is option B) Roll a die letting 1 represent Joel scoring and 2-6 represent Joel not scoring. Roll the die five times.
To determine the probability that Joel scores in 4 out of the 5 games, we can simulate the scenario using a die. We can assign a value of 1 to represent Joel scoring and values of 2-6 to represent Joel not scoring on the die. By rolling the die five times, we can observe the outcomes and count how many times Joel scores in 4 out of the 5 games.
The other options (A, C, D) do not have the correct number of trials. Option A only has 4 trials, while the scenario requires 5 games. Option C and D also have the incorrect number of trials. The correct simulation design should have 5 trials, as each roll of the die represents one game.