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You visit your friends. They have 2 children. They tell you one male. What is the probability that the other is female? Now the parent says that his child, Atsi, is a boy. Tell me what probability is that the other child is Female. Are the answers to the 2 subparts different? If so, why? Just n.

You visit your friends. They have 2 children. They tell you one male. What is the probability that the other is female? Now the parent says that his child, Atsi, is a boy. Tell me what probability is that the other child is Female. Are the answers to the 2 subparts different? If so, why? Just n.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. You visit your friends. They have 2 children. They tell you one of them is male. What is the probability that the other is female? 2. Now the parent says that his child, Atsi, is a boy. Tell me what the probability is that the other child is Female. 3. Are the answers to the 2 subparts different? If so, why? Just naming the boy provides no additional information, right? Math should not change with arbitrary nomenclature, and yet it seems to, can you resolve the paradox? 4. Can you use the answer in sub-part (a) to compute the answer to sub-part (b) using probabilistic update from any “information you gained"? Write out the computation explicitly. Note for Sub-part c: You answer should be why physically, the problem before and after telling the name is different, and not be a facet of the mathematical representation of the problem. Hint: Try to show if any information is being gained or lost from naming the boy.
Transcribed Image Text:1. You visit your friends. They have 2 children. They tell you one of them is male. What is the probability that the other is female? 2. Now the parent says that his child, Atsi, is a boy. Tell me what the probability is that the other child is Female. 3. Are the answers to the 2 subparts different? If so, why? Just naming the boy provides no additional information, right? Math should not change with arbitrary nomenclature, and yet it seems to, can you resolve the paradox? 4. Can you use the answer in sub-part (a) to compute the answer to sub-part (b) using probabilistic update from any “information you gained"? Write out the computation explicitly. Note for Sub-part c: You answer should be why physically, the problem before and after telling the name is different, and not be a facet of the mathematical representation of the problem. Hint: Try to show if any information is being gained or lost from naming the boy.
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