Probability Conditional Probability from Tables Conditional Probability from Tables A form of experimental probability where the data from a particular scenario is presented in a table. To determine the probability of an event from that scenario read the table and place the information from the event into the fraction; probability = selected data / selected total Example: Conditional Probability from a Table The following table Shows the faculty status (level of professorship) at a state university. Status Male Female Totals Assistant 254 151 405 Associate 397 154 551 Full 642 99 741 Totals 1293 404 1697 What is the probability of randomly selecting a female faculty member? Answer = 404/1697 Examples: Conditional Probability from a Table (Continued) Status Male Female Totals Assistant 254 151 405 Associate 397 154 551 Full 642 99 741 Totals 1293 404 1697 What is the probability of randomly selecting a male assistant faculty member from the assistant professor faculty? Answer = 254/405 What is the probability of randomly selecting a female full professor from the female faculty? Answer = 99/404 Examples: Conditional Probability from a Table (Continued) Status Male Female Totals Assistant 254 151 405 Associate 397 154 551 Full 642 99 741 Totals 1293 404 1697 What is the probability of randomly selecting a male assistant faculty member OR a female full professor from the faculty? Answer = (254+99)/1697 = 353/1697 What is the probability of randomly selecting a male full professor from the female faculty? Answer = 0/404 = 0 Assignment Worksheet
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