You have cylinder rotating clockwise (arrow is not rotating but circle. So if yo

Question

You have cylinder rotating clockwise (arrow is not rotating but circle. So if you are 3, then at next rotation, you will be at 2.) that holds marvel. This cylinder only holds 2 marvel that is randomly distributed. If you start, the cylinder will rotate and randomly stop at some number. At the number it stopped, you can check whether it holds marvel or not. Once you have opened, it will rotate to the next number (clockwise rotation).

A. what is the probability of getting marvel for the first two rotation? (first two draws)

B. what is the probability of getting one marvel for the first two rotation?

C. what is the probability of getting no marvel for the first four rotation?

Explanation / Answer

a) P(getting marvel for the first 2 rotations) = 2/6 x 1/5 = 1/15

b) P(getting one marvel for the first 2 rotations) = P(marvel on first rotation and no marvel on second) + P(no marvel on first and marvel on second)

= 2/6 x 4/5 + 4/6 x 2/5

= 8/15

c) P(no marvel for first four rotations) = 4/6 x 3/5 x 2/4 x 1/3

= 1/15

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