Mrs. Connor's physics class has 92 students, classified by academic year and gender, as illustrated in the table. Mrs. Connor randomly chooses one student to collect yesterday's work. Mrs. Connor's Physics Class Academic Year Males Females Freshmen 16 12 Sophomores 11 10 Juniors 10 12 Seniors 8 13 What is the probability that she selects a female, given that she chooses randomly from only the sophomores? Express your answer as a fraction or a decimal rounded to four decimal places. What is the probability that she selects a sophomore, given that she chooses a female? Express your answer as a fraction or a decimal rounded to four decimal places.
Mrs. Connor's physics class has 92 students, classified by academic year and gender, as illustrated in the table. Mrs. Connor randomly chooses one student to collect yesterday's work. Mrs. Connor's Physics Class Academic Year Males Females Freshmen 16 12 Sophomores 11 10 Juniors 10 12 Seniors 8 13 What is the probability that she selects a female, given that she chooses randomly from only the sophomores? Express your answer as a fraction or a decimal rounded to four decimal places. What is the probability that she selects a sophomore, given that she chooses a female? Express your answer as a fraction or a decimal rounded to four decimal places.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 48E
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Mrs. Connor's physics class has 92 students, classified by academic year and gender, as illustrated in the table. Mrs. Connor randomly chooses one student to collect yesterday's work.
Mrs. Connor's Physics Class
Academic Year | Males | Females |
---|---|---|
Freshmen | 16 | 12 |
Sophomores | 11 | 10 |
Juniors | 10 | 12 |
Seniors | 8 | 13 |
What is the probability that she selects a female, given that she chooses randomly from only the sophomores? Express your answer as a fraction or a decimal rounded to four decimal places.
What is the probability that she selects a sophomore, given that she chooses a female? Express your answer as a fraction or a decimal rounded to four decimal places.
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