Proportionality. The student applies mathematical process standards to use probability and statistics to describe or solve problems involving proportional relationships.

7.6.ARepresent sample spaces for simple and compound events using lists and tree diagrams.7.6.BSelect and use different simulations to represent simple and compound events with and without technology.7.6.CMake predictions and determine solutions using experimental data for simple and compound events;7.6.DMake predictions and determine solutions using theoretical probability for simple and compound events.7.6.EFind the probabilities of a simple event and its complement and describe the relationship between the two.7.6.FUse data from a random sample to make inferences about a population.7.6.GSolve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents.7.6.HSolve problems using qualitative and quantitative predictions and comparisons from simple experiments.7.6.IDetermine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.
Example Problems
Nina has a chance of beating her personal best in a sprint. Moira has a chance of doing the same in her own race.

Who is more likely?
Catherine and Derek are playing tennis. The probability Catherine wins the next match is . The probability Derek wins is .

Who is more likely to win the next match?
Hilda and Yvonne are drawing playing cards. The probability that Hilda draws a heart is . The probability that Yvonne draws a heart is .

Who is more likely to draw a heart?
Goblins

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