Suppose that in a certain country, the probability of having red hair is 0.10, and the probability of having blue eyes is 0.30. The probability of having both characteristics is 0.03. The probabilities are shown in the Venn diagram, where A is the event that a randomly chosen inhabitant of this country has red hair, and Bis the event that a randomly chosen inhabitant has blue eyes. A not B Both B not A 0.27 0.07 0.03 A=0.10 B=0.30 Calculate the conditional probability of a person having blue eyes given that he or she has red hair, and use the value to determine whether having blue eyes and red hair are independent. P(B| A) = Having red hair is of having blue eyes because

Suppose that in a certain country, the probability of having red hair is 0.10, and the probability of having blue eyes is 0.30. The probability of having both characteristics is 0.03. The probabilities are shown in the Venn diagram, where A is the event that a randomly chosen inhabitant of this country has red hair, and Bis the event that a randomly chosen inhabitant has blue eyes. A not B Both B not A 0.27 0.07 0.03 A=0.10 B=0.30 Calculate the conditional probability of a person having blue eyes given that he or she has red hair, and use the value to determine whether having blue eyes and red hair are independent. P(B| A) = Having red hair is of having blue eyes because

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.2: Probability

Problem 31E

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