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Use the addition rule, P(A or B) = P(A) + P(B) – P(A and B).
Clarifications:
Essential Understandings
Concrete:
- Create a table that records student responses to questions like: Do you like to color with crayons? Do you like to color with markers? Do you like to color with both crayons and markers?
- Use the data from the table to create a Venn diagram to visually represent the addition rule.
- Define the addition rule; When two events occur the probability that you will get events A or B is the probability of A plus the probability of B minus their overlap.
- Use the addition rule to compute the probability.
For example:
In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls made an A grade. If a student is chosen at random from the class, what is the probability of choosing a girl or an A student?
P(girl or A)= P(girl) + P(A) - P(girl and A)
= 13/30 + 9/30 - 5/30
= 17/30
General Information
Number: MAFS.912.S-CP.2.AP.7a
Category: Access Points
Date Adopted or Revised:
06/14
Cluster:
Use the rules of probability to compute probabilities of compound events in a uniform probability model. (Algebra 2 - Additional Cluster) :
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.
Related Standards
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