Florida B.E.S.T. MA.912.DP.6

MA.912.DP.6 is a B.E.S.T. standard. These are the benchmarks under it.

• MA.912.DP.6.1

  Define a random variable for a quantity of interest by assigning a numerical value to each individual outcome in a sample space; graph the corresponding probabi...

• MA.912.DP.6.2

  Develop a probability distribution for a discrete random variable using theoretical probabilities. Find the expected value and interpret it as the mean of the d...

• MA.912.DP.6.3

  Develop a probability distribution for a discrete random variable using empirical probabilities. Find the expected value and interpret it as the mean of the dis...

• MA.912.DP.6.4

  Given a binomial distribution, calculate and interpret the expected value. Solve real-world problems involving binomial distributions.

• MA.912.DP.6.5

  Solve real-world problems involving geometric distributions.

• MA.912.DP.6.6

  Solve real-world problems involving Poisson distributions.

• MA.912.DP.6.7

  Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values and standard deviations. Evaluate and compare ...

• MA.912.DP.6.8

  Apply probabilities to make fair decisions, such as drawing from lots or using a random number generator.

01

What Students Need to Do

Students use tables, graphs, or formulas that show possible outcomes and their probabilities. They find event probabilities and expected values to answer questions and make decisions.

02

What Mastery Looks Like

Students create or read a probability distribution and verify that it is valid. They calculate probabilities and expected values, then explain what the results mean in the problem context.

03

Common Misconceptions

Students may list probabilities that do not add to 1 or confuse outcomes with their probabilities. They may treat expected value as a guaranteed result rather than a long-run average. They may also add probabilities when events overlap.

04

How to Assess It

Exit ticket: A game pays $0, $5, or $20 with probabilities 0.70, 0.25, and 0.05. Find the expected payout and decide whether a $3 ticket is fair.

1. 01

   Roll two dice 40 times, build a distribution of sums, and compare experimental probabilities with theoretical probabilities.

2. 02

   Ask students to write whether an expected payout of $8 means every player wins $8, then defend their answer.

3. 03

   Play a matching game where students pair distribution tables with probability questions, expected values, and correct interpretations.

4. 04

   Compare two phone insurance plans using repair costs and probabilities, then choose the plan with the lower expected yearly cost.

• 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.7.DP.2

  Develop an understanding of probability. Find and compare experimental and theoretical probabilities.