8. A treasure chest contains 25 gold coins and 15 silver coins. Two are chosen at random one after the other, without replace- ment (ie, once you take the first one out, there are now 39 coins in the chest). (a) Use a tree diagram to help calculate the following probabilities: the probability that both coins are gold the probability that the first coin is gold and second is not the probability that the first coin is silver and the second is gold the probability that neither coin is gold (b) What is the probability that the second coin is gold? (c) What is the probability that exactly one coin is gold?
8. A treasure chest contains 25 gold coins and 15 silver coins. Two are chosen at random one after the other, without replace- ment (ie, once you take the first one out, there are now 39 coins in the chest). (a) Use a tree diagram to help calculate the following probabilities: the probability that both coins are gold the probability that the first coin is gold and second is not the probability that the first coin is silver and the second is gold the probability that neither coin is gold (b) What is the probability that the second coin is gold? (c) What is the probability that exactly one coin is gold?
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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