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(b) While blindfolded, you choose a bowl at random and then pick a jelly bean from that bowl at random. What is the probability that it is a RED jelly bean?

(b) While blindfolded, you choose a bowl at random and then pick a jelly bean from that bowl at random. What is the probability that it is a RED jelly bean?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(Probability Question)

(b) While blindfolded, you choose a bowl at random and then pick a jelly bean from that bowl at random. What is the probability that it is a RED jelly bean? (c) A friend (who is not blindfolded) tells you that you did, indeed, choose a RED jelly bean? What is the probability that you selected the BLUE bowl? (d) You are still blindfolded. So you do not know precisely which bowl you selected in part (b) and (c). You draw out a second jelly bean from the same bowl as you selected in parts (b) and (c). Given that the first jelly bean was RED, what is the probability that the second jelly bean is also RED?
Transcribed Image Text:(b) While blindfolded, you choose a bowl at random and then pick a jelly bean from that bowl at random. What is the probability that it is a RED jelly bean? (c) A friend (who is not blindfolded) tells you that you did, indeed, choose a RED jelly bean? What is the probability that you selected the BLUE bowl? (d) You are still blindfolded. So you do not know precisely which bowl you selected in part (b) and (c). You draw out a second jelly bean from the same bowl as you selected in parts (b) and (c). Given that the first jelly bean was RED, what is the probability that the second jelly bean is also RED?
Jelly beans are packaged in one-pound bags, with each bag containing jelly beans that are all of the same color. In order to conduct a probability experiment, you are given one bag each of red, green, purple and yellow jelly beans. The purple and yellow jelly beans are placed in a blue bowl. The green jelly beans are likewise placed in a white bowl. Exactly one half of the red jelly beans (one-half pound) are placed in the blue bowl and the other half are placed in the white bowl. The beans in both bowls are thoroughly mixed together. (a) In the experiment, you will be blindfolded. Then you will choose a bowl at random and then pick a jelly at random from that bowl. Let B = W = {the BLUE bowl is chosen} {the WHITE bowl is chosen}
Transcribed Image Text:Jelly beans are packaged in one-pound bags, with each bag containing jelly beans that are all of the same color. In order to conduct a probability experiment, you are given one bag each of red, green, purple and yellow jelly beans. The purple and yellow jelly beans are placed in a blue bowl. The green jelly beans are likewise placed in a white bowl. Exactly one half of the red jelly beans (one-half pound) are placed in the blue bowl and the other half are placed in the white bowl. The beans in both bowls are thoroughly mixed together. (a) In the experiment, you will be blindfolded. Then you will choose a bowl at random and then pick a jelly at random from that bowl. Let B = W = {the BLUE bowl is chosen} {the WHITE bowl is chosen}
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