Tom plays basketball. In the past 12 games, Tom has scored 24 or more points 4 times. If this trend continues, what is the probability that Tom will score 24 or more times in tonight's game?
1/3 is the probability that Tom will score 24 or more times in tonight's game.
Sam, how did you come at this answer? I have to show my work.
To calculate the probability that Tom will score 24 or more points in tonight's game based on the given information, we need to use the concept of relative frequency. The relative frequency is calculated by dividing the number of times a certain outcome occurs by the total number of trials or events.
In this case, we know that Tom has played 12 games in the past, and he has scored 24 or more points in 4 of those games. Therefore, the relative frequency of scoring 24 or more points is 4/12.
To convert the relative frequency to a probability, we simply divide the number of successful outcomes by the total number of outcomes. In this case, the successful outcome is scoring 24 or more points, and the total outcome is the total number of games played.
So, the probability that Tom will score 24 or more points in tonight's game can be calculated as:
Probability = Number of successful outcomes / Total number of outcomes
= 4/12
= 1/3
≈ 0.3333
Therefore, there is approximately a 33.33% probability that Tom will score 24 or more points in tonight's game, assuming the trend continues.