Socking it to Compound Probability
Students have little problem with understanding simple probability such as the probability of a flipped coin landing on heads, but when “and” is involved such as selecting a red bingo chip from a bag of red and green chips, replacing the chip and selecting a red chip again, they have difficulty accepting the rule P(A and B) = P(A) • P(B) This activity develops understanding of the rule for compound probability.
The parts of the activity:
1. Independent Events---Complete a chart (sample space) using cutouts of socks in an envelope
2. Worksheet to help students use the chart to arrive at a conjecture about a rule that could be used.
3. Dependent Events----chart to complete
4. Worksheet to help derive rule
5. Worksheet of 8 questions—some on simple probability and some on compound probability to reinforce simple probability and the new compound rule
(All keys are provided.)