Three board members for a nonprofit organization will be selected from a group o

Question

Three board members for a nonprofit organization will be selected from a group of five people .The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Bob, Charlie, Dave, and Emily. If we let A=Allison, B=Bob, C=Charlie, D=Dave and E=Emily, then

(i). List the sample space containing the possible outcomes of selecting 3 board members from a group of 5 people.

(ii).What is the probability that Bob and Dave are selected?

(iii). What is the probability that Bob and Charlie are selected?

(iv). What is the probability that Allison and Bob are selected?

(v). What is the probability that Allison and Charlie are selected?

Explanation / Answer

i) {A,B,C,D,E}

ii) 1*1*3=3/5C3=3/10

iii)1*1*3=3/5C3=3/10

iv)1*1*3=3/5C3=3/10

v)1*1*3=3/5C3=3/10

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