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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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I am doing a course in discrete mathematics. One of the topics that our course touches upon is probability. Our syllabus doesn't require us to learn a lot of theory, that is to say that we use intuitive notions to solve most problems. As I was reading about probability on the internet I came across the axiomatic approach to probability which sounded very interesting. So I read quite a bit about it. What I am now trying to do is trying to solve homework problems using this approach to see if I truly understand what the axioms say and now I am stuck.
Problem: Consider a box which contains 44 white , 55 blue balls. What is the probability of drawing a white ball and a blue ball in some order if two balls are drawn given that each ball has an equal likelihood of being drawn?
I think I first have to understand what the experiment is.
Experiment: There are 4 white balls and 5 blue balls in a box. Two of these balls will be picked up randomly.
1. What is the sample space?
I think it should be:
I preassume that the balls are drawn without replacement.
Let
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