Refer to the demographic information shown to the right that has been collected

Question

Refer to the demographic information shown to the right that has been collected by an instructor after surveying her class. The instructor randomly chooses one student to pass out papers, one student to clean the chalkboard, and one student to empty the trash. If a student may do more than one job, then what is the probability that the instructor will choose all girls to do the jobs? There is a % probability that all girls will be chosen to do the jobs. Total number of students in the class 53 Number of boys 17 Number of girls 36 Number of Freshman 8 Number of Sophomores 19 Number of Juniors 10 Number of Seniors 16

Explanation / Answer

Probability(all 4 girls)=36C4 / 53C4

where 36C4=36!/(4!*32!)=58905

and 53C4=53!/(49!*4!)=292825

so put in formula

we get p=58905/292825=0.2011=20.11%=20.1%

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