A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks: (i) two black balls (ii) a black ball in his second draw

A First Course in Probability (10th Edition)
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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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Example (7)
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and
replaces it back in the bag. He mixes the balls in the bag and then picks another ball at
random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
(i)
(ii) a black ball in his second draw
two black balls
Transcribed Image Text:Example (7) A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag. a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks: (i) (ii) a black ball in his second draw two black balls
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