CCSS Probability Highlights

1. CCSS Probability Highlights CCSS.7.SP.5, .6, .7ab, and .8abc

3. Probability Models Probability model: a function assigning a probability (0 <= p <= 1) to each outcome in the sample space; sum of all probabilities must = 1. Uniform probability model: all outcomes are equally likely. Non-uniform: some outcomes are more likely than others. http://illuminations.nctm.org/Activity.aspx?id=3537 Observed From Model

4. Probability Models Probability model: a function assigning a probability (0 <= p <= 1) to each outcome in the sample space; sum of all probabilities must = 1. Uniform probability model: all outcomes are equally likely. Non-uniform: some outcomes are more likely than others. Observed From Model

5. Number Lines

6. Simple vs. Compound Events • Simple event example: • spin the spinner, what color? • Compound event examples: • Spin the spinner twice, what colors? • Spin

7. Simple vs. Compound Events • Simple event: spin the spinner, what color? • Sample space: {red, yellow, blue, cyan} • Outcomes look like: red • Events look like: • Event A: {red}  “lands on red” • Event B: {red, blue}  “lands on red or blue” • P(B) = 2/4  probability of “red or blue”, assuming a uniform probability model • Compound event: spin the spinner twice, what colors?

8. Simple vs. Compound Events • Simple event: spin the spinner, what color? • Compound event: spin the spinner twice, what colors? • Sample space: • {RR, RY, RB, RC, YR, YY, YB, YC, BR, BY, BB, BC, CR, CY, CB, CC} • Outcomes look like: RY (“lands on R then Y”) • Events (subsets of SS) look like: • Event A: {RR}  “lands on red, then yellow” • Event B: {RR, YY, BB, CC}  “lands on same color twice” • P(B) = 4/16  probability of “landing on the same color twice”, assuming a uniform probability model

9. Draw two: What do you expect?

10. Draw two: What do you expect?

11. Draw two: What do you expect?