hi i need help: explain how using a spinner would help find the experimental probability that a soccer player will score a goal on a penalty kick. Suppose the player makes 75% of his of his penalty kicks.
no idea how that would help find the experimental probability. That is determined by performing the experiment some large number of times.
Now, if you expect a probability of 75%, then your spinner should have 3/4 of its area labeled success, and 1/4 failure. Then spinning the spinner a bunch of times should reflect the actual probability.
To use a spinner to find the experimental probability that a soccer player will score a goal on a penalty kick, follow these steps:
1. Draw a spinner: Begin by drawing a circle and dividing it into sections. Each section represents a possible outcome, in this case, scoring a goal or not scoring a goal.
2. Assign probabilities: Based on the given information that the player makes 75% of his penalty kicks, assign the appropriate probabilities to each outcome. Since the player makes 75% of his kicks, you would assign a probability of 75% to the "scoring a goal" section and a probability of 25% to the "not scoring a goal" section.
3. Spin the spinner: Given that the player makes 75% of his kicks, you can assume that the spinner is weighted such that it will stop on the "scoring a goal" section 75% of the time and on the "not scoring a goal" section 25% of the time.
4. Conduct the experiment: Spin the spinner a large number of times, such as 100 or 1000 spins, to gather enough data for reliable results. Record the number of times the spinner lands on the "scoring a goal" and "not scoring a goal" sections.
5. Calculate the experimental probability: Divide the number of times the spinner lands on the "scoring a goal" section by the total number of spins to calculate the experimental probability. For example, if the spinner landed on "scoring a goal" 70 times out of 100 spins, the experimental probability would be 70/100 or 0.7, which is equivalent to 70%.
Using a spinner in this way allows you to simulate the randomness of penalty kicks and gather experimental data to estimate the probability of a soccer player scoring a goal. Keep in mind that the more spins you conduct, the more accurate your experimental probability will be.