Inquiry Questions How does probability relate to obtaining car insurance? (MA10-GR.HS-S.3-GLE.3-IQ.3) (Engaging- Why is it hard for humans to determine if a set of numbers was created randomly? Debatable): Unit Strands Statistics and Probability: Conditional Probability and the Rules of Probability Concepts two-way frequency tables, associations, conclusions, categorical variables, unions, intersections, complements, events, subsets, sample space, independence, probabilities, products, conditional probability, given Generalizations Guiding Questions Factual Conceptual Understand My students will that… Two-way frequency tables provide the necessary How is conditional probability represented in a two-way Why are two-way frequency tables useful in probability? structure to make conclusions about the association of frequency table? categorical variables. (MA10-GR.HS-S.3-GLE.3-EO.a.iv) How do you determine the conditional probability of A given B from a frequency table? How do you determine if two events are independent from a frequency table? Unions, intersections and complements of events How do the word “and” and “or” relate to unions and Why is the addition rule related to unions, intersections describe subsets of a sample space. intersections? and complements? How are intersections and complements related? When is it appropriate to use unions, intersections, or complements in determining probability? Mathematicians determine the independence of events A How can you determine if two events are independent? Why are events independent if the product of the and B by examining if the product of the probabilities of A probabilities of A and B equals the probability of A and B equals the probability of A and B occurring and B occurring together? together. (MA10-GR.HS-S.3-GLE.3-EO.a.iii) Mathematicians find the probability of an event given the When do we use conditional probability? How are independence and conditional probability occurrence of another event through conditional related? probability. (MA10-GR.HS-S.3-GLE.3-EO.a.iii)
Inquiry Questions (Engaging- Debatable): How does probability relate to obtaining car insurance? (MA10-GR.HS-S.3-GLE.3-IQ.3) Why is it hard for humans to determine if a set of numbers was created randomly? Unit Strands Statistics and Probability: Conditional Probability and the Rules of Probability Concepts two-way frequency tables, associations, conclusions, categorical variables, unions, intersections, complements, events, subsets, sample space, independence, probabilities, products, conditional probability, given Generalizations My students will Understand that… Guiding Questions Factual Conceptual Two-way frequency tables provide the necessary structure to make conclusions about the association of categorical variables. (MA10-GR.HS-S.3-GLE.3-EO.a.iv) How is conditional probability represented in a two-way frequency table? How do you determine the conditional probability of A given B from a frequency table? How do you determine if two events are independent from a frequency table? Why are two-way frequency tables useful in probability? Unions, intersections and complements of events describe subsets of a sample space. How do the word “and” and “or” relate to unions and intersections? How are intersections and complements related? When is it appropriate to use unions, intersections, or complements in determining probability? Why is the addition rule related to unions, intersections and complements? Mathematicians determine the independence of events A and B by examining if the product of the probabilities of A and B equals the probability of A and B occurring together. (MA10-GR.HS-S.3-GLE.3-EO.a.iii) How can you determine if two events are independent? Why are events independent if the product of the probabilities of A and B equals the probability of A and B occurring together? Mathematicians find the probability of an event given the occurrence of another event through conditional probability. (MA10-GR.HS-S.3-GLE.3-EO.a.iii) When do we use conditional probability? How are independence and conditional probability related?