How do I approach these problems? Probability

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Homework Help Overview

The original poster presents two probability problems involving marbles and coin tosses. The first problem involves calculating the probability of drawing red marbles from a shoebox after transferring marbles from a cookie jar. The second problem concerns the probability of obtaining more heads than tails when tossing a fair coin an even number of times.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to approach the problems, mentioning the need to apply concepts such as conditional probability and Bayes' Theorem. Some participants question whether the problems constitute homework.

Discussion Status

The discussion is ongoing, with the original poster seeking input on their approach to the problems. There is no explicit consensus on the nature of the problems as homework, but the moderator has moved the thread to the appropriate forum for homework discussions.

Contextual Notes

The original poster indicates that simple math is insufficient for solving the problems, suggesting a need for deeper understanding of the covered topics.

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I have the following two problems and I don't know how to approach them.

A cookie jar has 3 red marbles and 1 white marble. A shoebox has 1 red marble and 1 white marble. Three marbles are chosen at random without replacement from the cookie jar and placed in the shoebox. Then 2 marbles are chosen at random without replacement from the shoebox. What is the probability that both marbles from the shoebox are red?

A fair coin is tossed n times, where n is an even integer. What is the probability that the number of heads exceeds the number of tails?

We talked about payoffs, Simple and Compound Growth,Conditional Probability, Law of total probability, Baye's Theorem. Simple math is obviously not enough, I need to prove it using those topics we covered. I'm not quite sure how to approach those problems. Any input?
Thank you
 
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Is this homework?
 
Moderator's note: thread moved to homework forums.
 
No...
 
Please allow me to clarify something from our forum guidelines:

... homework assignments or textbook style exercises for which you are seeking assistance are to be posted in the appropriate forum in our Homework & Coursework Questions area--not in blogs, visitor messages, PMs, or the main technical forums. This should be done whether the problem is part of one's assigned coursework or just independent study.

Since this is a textbook-style exercise, I moved it to the homework forums. Sorry if this created any confusion.
 

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