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Conditional ProbabilityName:Date:Hour:Conditional probability refers to the probability of an event, assuming that another event has already occurred. The notation is the following:P(A|B)This means “the probability of A, given B:Example. Complete the two-way table below, then use the table to answer the following questions.JazzRockClassicalFolkTotalMen1219452Women23Total2111100Find the probability that I pick an adult at random that enjoys folk music.Find the probability that I pick a male at random that enjoys folk music.P(enjoys jazz)P(enjoys rock | man)P(enjoys jazz | woman)P(man | enjoys classical)P(woman | enjoys folk)P(enjoys rock | woman)Conditional Probability In-Class AssignmentName:Date:Hour:Complete the following two-way table, then use the table to answer the following questions.BiologyChemistryPhysicsTotalFemale1847Male19Total213380Find the probability that I pick a student at random that studies biology.Find the probability that I pick a female, given that she studies biology.Find the probability that I pick a student at random that studies biology or chemistry.P(female | chemistry)P(chemistry | female)P(female or chemistry)P(female and chemistry)Students at a university were surveys. The tables below represent the findings. Complete the two-way tables and use them to answer the questions. Assume that each student is in only one table.How many students were surveyed total? __________What is the probability that I pick a student who is studying Art?What is the probability that I pick a girl studying Applied Math?What is the probability that I pick a student who is studying a science or math subject?In Table C, what is the probability that I pick a student who is studying Art, given they are a girl?In Table C, what is the probability that I pick a student who is studying Art, given they are a boy?In Table B, find P(girl | studies Polish).In Table D, find P(Literature | girl). 9. In Table E, find P(girl | statistics). ................
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