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.
A?
A is correct
"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." Is the answer guys!
AKA: D
The correct simulation design for this question would be option 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.
To determine the probability that Joel scores in 4 out of the 5 games, we can use a simulation by generating random digit selections from a table of random digits. In this case, we assign the digits 0-7 to represent Joel scoring and the digits 8-9 to represent Joel not scoring.
Since Joel scores in 80% of his games, we expect that in each game, the probability of him scoring would be 0.8. To simulate a game, we can select a digit from the table randomly and check if it falls within the range 0-7 (indicating a score) or 8-9 (indicating no score).
By repeating this process for 5 games, we can count how many times Joel scores in 4 out of the 5 games and calculate the probability based on the number of successful outcomes.
However, in this specific case, the appropriate simulation design should only involve selecting four digits because we are looking for the probability of Joel scoring in 4 out of the 5 games.
Therefore, the correct simulation design for this question would be option 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.