Florida B.E.S.T. MA.8.DP.2.2
The Standard
Find the theoretical probability of an event related to a repeated experiment.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find the theoretical probability of an event when the same chance experiment happens more than once. They organize repeated outcomes and combine probabilities correctly.
What Mastery Looks Like
- Students list or represent all possible outcomes with an organized table, tree diagram, or calculation. They correctly find probabilities for events such as two successes, exactly one success, or no successes.
Common Misconceptions
- Students may add probabilities when repeated independent outcomes require multiplication. They may count only one order, such as HT but not TH, or use experimental results as the theoretical probability.
How to Assess It
- Give this exit ticket: “A fair number cube is rolled twice. What is the probability of rolling exactly one 6? Show the possible outcomes or calculations.”
Lesson moves
Ways to Teach It
Flip two coins, arrange outcome cards for HH, HT, TH, and TT, then calculate the theoretical probability of exactly one head.
Ask students to explain why getting heads then tails and tails then heads must both count when finding exactly one head.
Play a probability match game where students pair repeated experiment cards with tree diagrams, fractions, and event descriptions.
Calculate the chance that a basketball player with a fixed free throw rate makes both of two independent shots.
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Related Standards
- MA.7.DP.2.3
Find the theoretical probability of an event related to a simple experiment.
- MA.7.DP.2.4
Use a simulation of a simple experiment to find experimental probabilities and compare them to theoretical probabilities.
- MA.8.DP.2.3
Solve real-world problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability.
- MA.8.DP.2
Represent and find probabilities of repeated experiments.
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