CONDITIONAL PROBABILITIES

Use the following data to fill in the two way frequency table Of the females surveyed, 12 chose Country, 18 chose Rap/R&B, 20 chose Pop, and 10 chose Rock. Of the males surveyed, 19 chose Rock, 15 chose Pop, 26 chose Rap, and 10 chose Country. Favorite Music Genre Rap/R&B Pop Country Rock Total Gender Male Female

Conditional Probabilities Favorite Music Genre Rap/R&B Pop Country Rock Total Gender Male 26 15 10 19 70 Female 18 20 12 60 44 35 22 29 130 Reminder!! We can find the JOINT PROBABILITIES by dividing the JOINT FREQUENCY by the OVERALL TOTAL. What is the probability that a selected person is a male who prefers rap? What is the probability that a selected person is a female who prefers rock? 26/130 = .2 or 20% 10/130 = .08 or 8%

REMINDER: Favorite Music Genre Gender Rap/R&B Pop Country Rock Total Gender Male 26 15 10 19 70 Female 18 20 12 60 44 35 22 29 130 The yellow filled cells are the JOINT FREQUENCIES. The green filled cells are the MARGINAL FREQUENCIES. The red filled cell is the OVERALL TOTAL.

Conditional Probabilities Favorite Music Genre Rap/R&B Pop Country Rock Total Gender Male 26 15 10 19 70 Female 18 20 12 60 44 35 22 29 130 A CONDITIONAL PROBABILITY is the probability that something will happen GIVEN a certain condition (or certain information beforehand). We can find CONDITIONAL PROBABILITIES by dividing the JOINT FREQUENCY by the MARGINAL FREQUENCY of the given. Examples: 1. What is the probability that a person prefers pop GIVEN that they are female? 2. What is the probability that a person prefers country GIVEN that they are male? 20/60= .33 or 33% 10/70= .14 or 14%