Two boys are having an "I spy" contest. They ask a third person to locate and think of a hidden item. Based on previous experience, Boy 1 has a 73% chance on finding the hidden item while boy 2 has a 56% chance on finding the hidden item. Assume they work independently,  a) Determine the probability that both of them find the hidden item. b) Determine the probability that the hidden item is not found by either of the boys.

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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Two boys are having an "I spy" contest. They ask a third person to locate and think of a hidden item. Based on previous experience, Boy 1 has a 73% chance on finding the hidden item while boy 2 has a 56% chance on finding the hidden item. Assume they work independently, 

a) Determine the probability that both of them find the hidden item.
b) Determine the probability that the hidden item is not found by either of the boys. 

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