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Exercise 23

Avg difficulty 3.0

Marbles in an urn. Imagine you have an urn containing 5 red, 3 blue, and 2 orange marbles in it.

  1. What is the probability that the first marble you draw is blue?

  2. Suppose you drew a blue marble in the first draw. If drawing with replacement, what is the probability of drawing a blue marble in the second draw?

  3. Suppose you instead drew an orange marble in the first draw. If drawing with replacement, what is the probability of drawing a blue marble in the second draw?

  4. If drawing with replacement, what is the probability of drawing two blue marbles in a row?

  5. When drawing with replacement, are the draws independent? Explain.

Diez, Barr & Çetinkaya-Rundel, OpenIntro Statistics, Probability, End-of-Chapter Exercises, Exercise 23

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Adapted from OpenIntro Statistics © 2019 David Diez, Mine Çetinkaya-Rundel & Christopher D. Barr. Licensed under CC BY-SA 3.0. Source: OpenIntro Statistics. Imported at revision fee2509.