Experimental probability is the likelihood of an event happening based on the results of an actual experiment or trial. It is calculated by conducting an experiment and recording the number of times the event occurs, then dividing that number by the total number of trials.

To calculate the experimental probability of an event, you can use the following formula:

Experimental Probability = Number of times the event occurs / Total number of trials

Suppose you roll a standard six-sided die 30 times and record the number of times a 4 is rolled. If the number 4 comes up 8 times, the experimental probability of rolling a 4 is:

Experimental Probability = 8 / 30 = 0.267

- Conduct the experiment and record the outcomes.
- Count the number of times the event of interest occurs.
- Divide the number of favorable outcomes by the total number of trials.

- The experimental probability will change as the number of trials increases.
- The experimental probability may not always reflect the theoretical probability of an event.

Experimental probability is used in various real-life situations such as:

- Weather forecasting
- Sports statistics
- Market research

Calculate the experimental probability for the following scenarios:

- You toss a coin 50 times and it lands on heads 28 times.
- A basketball player makes 35 out of 50 free throw attempts.
- A spinner is spun 40 times and lands on red 12 times.

Now you can use this study guide to understand and practice experimental probability!

.Study GuideExperimental Probability Worksheet/Answer key

Experimental Probability Worksheet/Answer key

Experimental Probability Worksheet/Answer key

Experimental Probability

Data Analysis and Probability (NCTM)

Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.

Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population.

Develop and evaluate inferences and predictions that are based on data.

Use conjectures to formulate new questions and plan new studies to answer them.

Understand and apply basic concepts of probability

Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations.