a class of 18 students there are 11 math majors and 7 computer science majors. Four students are randomly picked to prepare a demonstrate on the use of a graphing calculator. a. If one person in the class is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a math major? b. How many ways can the group of students be formed if there are no restrictions on composition? c. How many ways can three math majors be chosen? d. How many ways can 1 computer science major be chosen? e. What is the probability that the random selection of the four-person group will result in three math majors and 1 computer
These problems focus on counting techniques and probability.
Related text: chapter 10 sections 10 – 1 examples 2, 3; 10 – 3 examples 3,4,5; 10 - 5 examples 1, 2, 4
Only do the one problem that corresponds to your assigned number.
Be sure that you show all your work to reach your answer. Each step must be on a separate line. Your method to reach your answer must be clear and include explanations.
For questions a and e, write the probability as a fraction reduced to lowest terms or as a decimal rounded to the nearest hundredth.
For questions b, c, d the order of selection is not important so you use the combination rule not the permutation rule.
In a class of 18 students there are 11 math majors and 7 computer science majors. Four students are randomly picked to prepare a demonstrate on the use of a graphing calculator.
a. If one person in the class is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a math major?
b. How many ways can the group of students be formed if there are no restrictions on composition?
c. How many ways can three math majors be chosen?
d. How many ways can 1 computer science major be chosen?
e. What is the probability that the random selection of the four-person group will result in three math majors and 1 computer science major?
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