Defining A1 = hits Florida A2 = misses Florida B = has rating of 5 Then P(A1)P(B│A1) = ----------------------------------------- P(A1│B) + P(A1)P(B│A1) P(A2)P(B│A2) (.32)(.005/.32) = ----------------------------------------- = 0.333 P(A1│B) (.32)(.005/.32) + (.68)(.01/.68) Or = (.005/.015) = 0.333 P(A1│B) Answer: The probability that a hurricane hits Florida given that it has a category 5 rating is 0.333 Reporting Statistics and Probability Category Conditional Probability & the Rules of Probability Standard Benchmark MAFS.912.S-CP.2.9 Number Use permutations and combinations to compute probabilities of compound events and Benchmark solve problems. MAFS.K12.MP.1.1 Also Assesses MAFS.K12.MP.8.1 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer
Defining A1 = hits Florida A2 = misses Florida B = has rating of 5 Then P(A1)P(B│A1) P(A1│B) = ----------------------------------------- P(A1)P(B│A1) + P(A2)P(B│A2) (.32)(.005/.32) P(A1│B) = ----------------------------------------- = 0.333 (.32)(.005/.32) + (.68)(.01/.68) Or P(A1│B) = (.005/.015) = 0.333 Answer: The probability that a hurricane hits Florida given that it has a category 5 rating is 0.333 Reporting Category Statistics and Probability Standard Conditional Probability & the Rules of Probability Benchmark Number MAFS.912.S-CP.2.9 Benchmark Use permutations and combinations to compute probabilities of compound events and solve problems. Also Assesses MAFS.K12.MP.1.1 MAFS.K12.MP.8.1 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer
probability_and_statistics_with_applications_-_mafs_version.docx