Solution Found!
You are a member of a class of 18 students. A bowl
Chapter 1, Problem 12E(choose chapter or problem)
You are a member of a class of 18 students. A bowl contains 18 chips: 1 blue and 17 red. Each student is to take 1 chip from the bowl without replacement. The student who draws the blue chip is guaranteed an A for the course.
(a) If you have a choice of drawing first, fifth, or last, which position would you choose? Justify your choice on the basis of probability.
(b) Suppose the bowl contains 2 blue and 16 red chips. What position would you now choose?
Questions & Answers
QUESTION:
You are a member of a class of 18 students. A bowl contains 18 chips: 1 blue and 17 red. Each student is to take 1 chip from the bowl without replacement. The student who draws the blue chip is guaranteed an A for the course.
(a) If you have a choice of drawing first, fifth, or last, which position would you choose? Justify your choice on the basis of probability.
(b) Suppose the bowl contains 2 blue and 16 red chips. What position would you now choose?
ANSWER:
Step 1 of 4
a) No. of chips=18
Blue chips=1
Red chips=17
P(1st person draw blue chip)=1/18
P(2nd person draw blue chip)
= P(1st person did not draw blue chip)*P(2nd person draw blue chip)
= 17/18*1/17=1/18
P(3rd person draw blue chip)
= P(1st & 2nd person did not draw blue chip) * P(3rd person draw blue chip)
= 17/18*16/17*1/16=1/18