Lesson 4.3 Checkpoint
Authored by Krysten Martinez
Mathematics
11th - 12th Grade
Used 35+ times
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This quiz focuses on probability and two-way tables, specifically addressing the fundamental concepts of compound events, conditional probability, and the addition rule for probability. Based on the complexity of the mathematical reasoning required and the real-world contexts involving survey data and statistical interpretation, this material aligns with grades 11-12. Students need a solid understanding of probability notation, including the use of complements (B^c), intersection and union of events, and the ability to interpret two-way tables to calculate joint, marginal, and conditional probabilities. The problems require students to apply the addition rule P(A or B) = P(A) + P(B) - P(A and B), work with Venn diagrams as visual representations of probability relationships, and distinguish between "and" versus "or" probability scenarios. Students must also demonstrate proficiency in converting between percentages and decimal probabilities while interpreting survey data from real organizations like the National Center for Health Statistics and Pew Research Center. Created by Krysten Martinez, a Mathematics teacher in US who teaches grade 11-12. This checkpoint quiz serves as an excellent formative assessment tool to evaluate student mastery of probability concepts before moving to more advanced topics. Teachers can utilize this assessment as a mid-unit checkpoint to identify students who need additional support with compound probability calculations, or as a review activity before a summative assessment. The quiz works particularly well for homework assignments since students can practice applying probability rules to authentic data scenarios, reinforcing both computational skills and conceptual understanding. The varied question formats, from direct probability calculations to Venn diagram construction, make this resource ideal for differentiated instruction and can serve as a warm-up activity to activate prior knowledge about probability rules. This assessment directly supports Common Core standards HSS-CP.A.1 (describing events as subsets of sample space), HSS-CP.B.7 (applying the addition rule), and HSS-CP.A.2 (understanding independence and conditional probability concepts).
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6 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, “Do you eat breakfast regularly?” All 595 students in the school responded to the survey. The resulting data are summarized in the two-way table.
Suppose we select a student from the school at random. Define event F as getting a female student and event B as getting a student who eats breakfast regularly.
Find P(female and doesn’t eat breakfast regularly).
(LT 4.3.1 #1)
0.2773
0.4958
0.6807
You can't find one, there is no chance process.
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, “Do you eat breakfast regularly?” All 595 students in the school responded to the survey. The resulting data are summarized in the two-way table.
Suppose we select a student from the school at random. Define event F as getting a female student and event B as getting a student who eats breakfast regularly.
Find P(F or Bc).
(LT 4.3.1 #2)
0.2773
0.4958
0.6807
You can't find one, there is no chance process.
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
According to the National Center for Health Statistics, in December 2012, 60% of U.S. households had a traditional landline telephone, 89% of households had cell phones, and 51% had both. Suppose we randomly selected a household in December 2012. What’s the probability that the household has a traditional landline telephone or a cell phone?
(LT 4.3.2 #!)
0.6000
0.8900
0.5100
0.9800
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
A December 2013 Pew Research Center poll of adults who use the Internet found that 71% of online adults use Facebook, 17% use Instagram, and 16% use both. Suppose we randomly select a person who responded to this poll. What’s the probability that he or she uses Facebook or Instagram?
(LT 4.3.2 #2)
0.7100
0.1600
0.1700
0.7200
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
According to the National Center for Health Statistics, in December 2012, 60% of U.S. households had a traditional landline telephone, 89% of households had cell phones, and 51% had both. Suppose we randomly selected a household in December 2012.
Construct a Venn diagram to represent the outcomes of this chance process using the events T: has a traditional landline phone and C: has a cell phone.
(LT 4.3.3 #1)
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
According to the National Center for Health Statistics, in December 2012, 60% of U.S. households had a traditional landline telephone, 89% of households had cell phones, and 51% had both. Suppose we randomly selected a household in December 2012.
Find the probability that the household has a cell phone only.
(LT 4.3.3 #2)
0.3800
0.6000
0.8900
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