QUESTION: Looking around the conference room, you see a total of ten people: six
ID: 2929165 • Letter: Q
Question
QUESTION:
Looking around the conference room, you see a total of ten people: six from the New York office and four from the Medford office. You plan to randomly select three people to form a sales committee. Use a probability tree to determine the probability that
1. you would end up with all three people from New York. (Round answer to 0 decimal places, e.g. 52%.)
2.your sample would be composed of one person from New York and two from Medford. (Round answer to 0 decimal places, e.g. 52%.)
3.no one from New York is selected. (Round answer to 0 decimal places, e.g. 52%.)
Explanation / Answer
Looking around the conference room,
you see a total of ten people: six from the New York office and four from the Medford office
plan to randomly select three people to form a sales committee,
1.
you would end up with all three people from New York then the probability = 6c3/10c3
= 20/120
= 1/6 = 0.1666
= 16.66%
2.
your sample would be composed of one person from New York and two from Medford then the probability = 6c1*4c2/10c3
= 6*6/120
=36/120
=0.3= 30%
3.
no one from New York is selected then the probability = 4c3/10c3
=4/120
= 1/30
=0.0333 = 3.33%