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ID LEARN My Institut My Courses Community Save & End Certify Lesson: 7.4 Additio

ID: 3145241 • Letter: I

Question

ID LEARN My Institut My Courses Community Save & End Certify Lesson: 7.4 Addition and Multiplication Rul- ARIELLE NEWBY 3/12 Question 4 of 12, Step 1 of 1 Mr. Weber's business class has 102 students, classified by academic year and gender, as illustrated in the following table. Mr. Weber randomly chooses one student to collect yesterday's work. What is the probability that he selects a male given that he chooses randomly from only the juniors? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth Males Females Juniors 17 18 12 11 Copy Data

Explanation / Answer

From conditional probability,

p(A | B) is probability of A given B

= P( A AND B) / P(B)

Therefore

P(Male | Junior) = P( Male AND Junior) / P(Junior)

= 17 / (17 + 18)

= 17 / 35

= 0.485714