Suitable for Grades: 7th Grade
CCSS: 7.SP.C.8
CCSS Description: Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. a. Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs. b. Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event. c. Design and use a simulation to generate frequencies for compound events. For example, use random digits as a simulation tool to approximate the answer to the question: If 40% of donors have type A blood, what is the probability that it will take at least 4 donors to find one with type A blood?
Throughout this worksheet, students will use experimental data to calculate relative frequencies and use these to answer questions about the data provided.
In section A, data from two experiments is provided: rolling a dice 200 times and spinning a spinner 120 times. Learners will use the results to calculate the experimental probability of each possible outcome. This data is then used to calculate expected frequencies and discuss whether the dice and spinner used were fair or biased.
Studnets will again calculate the relative frequency of outcomes from two experiments in section B. The experimental data for one event shows the relative frequency changing over time. Students will consider this where answering the questions in section B.
Calculators are required.