1. A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from thebag and replaces it back in the bag. He mixes the balls in the bag and then picksanother ball at random from the bag.a) Construct a probability tree of the problem.b) Calculate the probability that Paul picks two black balls

Here define events and draw tree

Answered: a) Construct a probability tree of the…

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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Solve all the subparts in question. Q)A set of eight cards contains one joker. Player A and Player B are playing card games with these 8 cards. Player A chooses 5 cards at random, Player B takes the remaining three cards. What is the probability that Player A has the joker? Player A discards 4 cards and Player B discards two cards. It is know that the joker has not been discarded, what is the probability that Player A has the joker?
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a) Construct a probability tree of the problem. b) Calculate the probability that Paul picks two black balls