Question

The governing group of student-athletes on campus consists of six elected representatives from the various teams. Two of this year's group are female student-athletes. The athletic director plans to randomly select a subcommittee of 3 members to study and make recommendations about adding field hockey as a women's sport. The composition of the subcommittee is of some interest. The six students are Adam, Bob, Christopher, Doug, Elsa, and Frannie.

a. List all the simple events in this experiment. (Example: ABC, ABD, ABE etc)

b. Compute the probabilities of the following events of interest:

i: {both females are selected}

  ii: {At least one female is selected}

  iii: {No female is selected}

Answer 1

ANSWER::

a)

We have to select 3 members out of 6

so the list of simple events is {ABC,ABD,ABE,ABF,BCD,BCE,BCF,CDE,CDF,DEF,ACD,ACE,ACF,ADE,ADF,AEF,BDE,BDF,BEF,CEF}

(or)

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