2. Mr. Connor\'s physics class has 81 students, classified by academic year and

Question

2. Mr. Connor's physics class has 81 students, classified by academic year and gender, as illustrated in the table. Mr. Connor randomly chooses one student to collect yesterday's work.

Step 1 of 2:

What is the probability that he selects a female, given that he chooses randomly from only the seniors? Express your answer as a fraction or a decimal rounded to four decimal places.

Step 2 of 2:

What is the probability that he selects a senior, given that he chooses a female? Express your answer as a fraction or a decimal rounded to four decimal places.

Mr. Connor's Physics Class Academic Year Males Females Freshmen 9 11 Sophomores 5 6 Juniors 15 20 Seniors 8 7

Explanation / Answer

from above"

step 1 of 2:

P(|female|seniors) =P(female and seniors)/P(seniors)=7/15=0.4667

step 2 of 2:

P(seniors|female)  =P(female and seniors)/P(female)=7/44=0.1591

Academic Year Males Females total Freshmen 9 11 20 Sophomores 5 6 11 Juniors 15 20 35 Seniors 8 7 15 total 37 44 81

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