There are 3 Boxes having the following compositions of black and white balls. Box I: 6 white, 4 black balls; Box II: 3 white, 7 black balls; Box III: 2 white, 8 black balls. One of these boxes is chosen at random with probabilities 0.30, 0.50, and 0.20, respectively. From the chosen box, two balls are drawn without replacement. Then (i) Calculate the probabilities that both balls are white. (ii) What is the probability that both the balls selected from Box II?
There are 3 Boxes having the following compositions of black and white balls. Box I: 6 white, 4 black balls; Box II: 3 white, 7 black balls; Box III: 2 white, 8 black balls. One of these boxes is chosen at random with probabilities 0.30, 0.50, and 0.20, respectively. From the chosen box, two balls are drawn without replacement. Then (i) Calculate the probabilities that both balls are white. (ii) What is the probability that both the balls selected from Box II?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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![There are 3 Boxes having the following compositions of black and white balls. Box I: 6
white, 4 black balls; Box II: 3 white, 7 black balls; Box III: 2 white, 8 black balls. One of
these boxes is chosen at random with probabilities 0.30, 0.50, and 0.20, respectively. From
the chosen box, two balls are drawn without replacement. Then
(i) Calculate the probabilities that both balls are white.
(ii) What is the probability that both the balls selected from Box II?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72d5acfa-3b7d-4411-a376-7057db7a870b%2Ffaf4e1c5-10da-424f-a3a8-dc24e90add87%2Fz90sv4g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:There are 3 Boxes having the following compositions of black and white balls. Box I: 6
white, 4 black balls; Box II: 3 white, 7 black balls; Box III: 2 white, 8 black balls. One of
these boxes is chosen at random with probabilities 0.30, 0.50, and 0.20, respectively. From
the chosen box, two balls are drawn without replacement. Then
(i) Calculate the probabilities that both balls are white.
(ii) What is the probability that both the balls selected from Box II?
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