43 26 17 Refer to the demographic information shown to the right that has been c

Question

43 26 17 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 Total number of students in the class Number of boys Number of girls Number of Freshman Number of Sophomores Number of Juniors Number of Seniors 13 12 choose all boys to do the jobs? There is a%probability that all boys will be chosen to do the jobs Round to one decimal place as needed)

Explanation / Answer

total boys = 26

total students = 43

given : a student may do more than one job

=> repeatition is allowed

so, no of ways to choose 3 boys = 26*26*26

total ways to choose 3 students = 43*43*43

P(all 3 are boys) = (26*26*26)/(43*43*43)

= 0.22106

P(all 3 are boys) = 0.22106 * 100 %

= 22.106 % (answer)

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