Three piggy banks each contain 20 coins: • Piggy Bank # 1 contains 12 gold coins, 5 silver coins and 3 copper coins. • Piggy Bank # 2 contains 8 gold coins, 10 silver coins and 2 copper coins. • Piggy Bank # 3 contains 6 gold coins, 9 silver coins and 5 copper coins.

Three piggy banks each contain 20 coins: • Piggy Bank # 1 contains 12 gold coins, 5 silver coins and 3 copper coins. • Piggy Bank # 2 contains 8 gold coins, 10 silver coins and 2 copper coins. • Piggy Bank # 3 contains 6 gold coins, 9 silver coins and 5 copper coins.

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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Question

Please provide thorough reasoning. Highlighted is the correct answer.

Three piggy banks each contain 20 coins:
• Piggy Bank # 1 contains 12 gold coins, 5 silver coins and 3 copper coins.
Piggy Bank # 2 contains 8 gold coins, 10 silver coins and 2 copper coins.
• Piggy Bank # 3 contains 6 gold coins, 9 silver coins and 5 copper coins.
If we randomly select one coin from each piggy bank, what is the probability we get
exactly one gold coin?
(A) 0.333
(B) 0.367
(C) 0.400
(D) 0.436
(E) 0.475

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