G.PR.10Compound Event Probability

Expectations

• G.PR.10.1

  Describe categories of events as subsets of a sample space using unions, intersections, or complements of other events. Apply the Addition Rule conceptually, P(A or B)= P(A) + P(B)-P(A and B), and interpret the answers in context.

• G.PR.10.2

  Apply and interpret the general Multiplication Rule conceptually to independent events of a sample space, P(A and B) = [P(A)]x[P(B|A)] =[P(B)]x[P(A|B)] using contingency tables or tree diagrams.

• G.PR.10.3

  Use conditional probability to interpret risk in terms of decision-making and investigate questions such as those involving false positives or false negatives from screening tests.

• G.PR.10.4

  Define permutations and combinations and apply this understanding to compute probabilities of compound events and solve meaningful problems.

• G.PR.10.5

  Interpret the probability distribution for a given random variable and interpret the expected value.

• G.PR.10.6

  Develop a probability distribution for variables of interest using theoretical and empirical (observed) probabilities and calculate and interpret the expected value.

• G.PR.10.7

  Calculate the expected value of a random variable and interpret it as the mean of a given probability distribution.

• G.PR.10.8

  Compare the payoff values associated with the probability distribution for a random variable and make informed decisions based on expected value and measures of variability.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.