Simulation to Predict Probability
Suppose a basketball player typically makes five out of eight foul shots.
Question 1
How could a single foul shot be simulated?
Responses
A Place five red marbles to represent as shot made and five blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.Place five red marbles to represent as shot made and five blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
B Place three red marbles to represent as shot made and five blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.Place three red marbles to represent as shot made and five blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
C Place three red marbles to represent as shot made and three blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.Place three red marbles to represent as shot made and three blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
D Place five red marbles to represent as shot made and three blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
A Place five red marbles to represent as shot made and five blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
A Place five red marbles to represent a shot made and five blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
C Place three red marbles to represent as shot made and three blue marbles to represent a shot missed in a bag. Randomly pull a marble out of the bag to represent one attempt at a foul shot.
The correct option is D. Place five red marbles to represent a shot made and three blue marbles to represent a shot missed in a bag. Randomly pulling a marble out of the bag represents one attempt at a foul shot.
To simulate a single foul shot, you will need to represent the probability of making or missing the shot using marbles. In this case, the basketball player typically makes five out of eight foul shots. This means there are eight total attempts, with five being successful (made shots) and three being unsuccessful (missed shots).
To simulate this, you can put five red marbles and three blue marbles in a bag. Each marble represents one attempt at a foul shot. By randomly pulling a marble out of the bag, you are simulating the outcome of one attempt at a foul shot.
The probability of pulling a red marble (made shot) represents the probability of making the foul shot, which in this case is 5/8. The probability of pulling a blue marble (missed shot) represents the probability of missing the foul shot, which is 3/8.
By repeating this simulation many times, you can estimate the probability of making or missing a foul shot based on the proportion of red and blue marbles drawn.