Florida B.E.S.T Standards for Mathematics

MA.912.DP.4 Use and interpret independence and probability
MA.912.DP.4.1: Describe events as subsets of a sample space using characteristics, or
categories, of the outcomes, or as unions, intersections or complements of other event
MA.912.DP.4.2: Determine if events A and B are independent by calculating the product of
their probabilities.
MA.912.DP. 4.3: Calculate the conditional probability of two events and interpret the result in
terms of its context.
MA.912.DP.4.4: Interpret the independence of two events using conditional probability.
MA.912.DP.4.5: Given a two-way table containing data from a population, interpret the joint
and marginal relative frequencies as empirical probabilities and the conditional relative frequencies as empirical conditional probabilities. Use those probabilities to determine whether characteristics in the population are approximately independent.
MA.912.DP.4.6: Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.
MA.912.DP.4.7: Apply the addition rule for probability, taking into consideration whether the
events are mutually exclusive, and interpret the result in terms of the model and its context.
MA.912.DP.4.8: Apply the general multiplication rule for probability, taking into consideration whether the events are independent, and interpret the result in terms of the context
MA.912.DP.4.9: Apply the addition and multiplication rules for counting to solve mathematical and real-world problems, including problems involving probability
MA.912.DP.4.10: Given a mathematical or real-world situation, calculate the appropriate
permutation or combination
MA.912.DP.6 Use probability distributions to solve problems.
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
probability distribution using the same graphical displays as for data
distributions.
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 discrete distribution.
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 discrete distribution.
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.