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Conditional Probability

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Please help with the following probability 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?

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You are a member of a class of 18 students. A bowl contains 18 chips: 1 blue

Answer:

(a)
It doesn't matter because your chance of winning will always equal 1/18.
P({winning on first}) = 1/18

If draw blue chip at the fifth draw that means you have drawn red chips in first four ...

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Sandhya Sharma, MSc
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  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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