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Marbles in an urn. Imagine you have an urn containing 5
Chapter , Problem 2.27(choose chapter or problem)
Marbles in an urn. Imagine you have an urn containing 5 red, 3 blue, and 2 orange marbles in it.
(a) What is the probability that the first marble you draw is blue?
(b) 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?
(c) 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?
(d) If drawing with replacement, what is the probability of drawing two blue marbles in a row?
(e) When drawing with replacement, are the draws independent? Explain.
Questions & Answers
QUESTION:
Marbles in an urn. Imagine you have an urn containing 5 red, 3 blue, and 2 orange marbles in it.
(a) What is the probability that the first marble you draw is blue?
(b) 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?
(c) 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?
(d) If drawing with replacement, what is the probability of drawing two blue marbles in a row?
(e) When drawing with replacement, are the draws independent? Explain.
ANSWER:
Step 1 of 6
(a)
Given,
No. of Red Marbles = 5
No. of Blue Marbles = 3
No. of Orange Marbles = 2
Total no. of marbles = 5 + 3 + 2 = 10.
The probability of getting blue marble in the first draw is,
