Occuring Events- Probabilities

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Homework Help Overview

The problem involves a box containing colored poker chips and requires defining specific events related to the selection of chips. The subject area pertains to probability and combinatorial analysis.

Discussion Character

  • Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the definitions of events A and B, with some confusion regarding whether these events require probabilities or simply a listing of outcomes. There is an attempt to clarify the nature of the events and how they relate to the overall problem.

Discussion Status

The discussion is ongoing, with participants seeking to clarify the definitions of the events and their implications. Some guidance has been offered regarding the interpretation of events, but there is still uncertainty among participants about the correct approach to the problem.

Contextual Notes

Participants express confusion about the requirements of the problem, particularly regarding the distinction between defining events and calculating probabilities. There is an indication of varying interpretations of the tasks involved.

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Homework Statement


A box contains two white, two red, and two blue poker chips. Two chips are randomly chosen without replacement, and their colors are noted. Define the following events:
A) Both chips are of the same color
B)Both chips are red
C)At least one chip is red or white
Find P(A/B), P(B/A^c), P(B/C), P(A/C), P(C/A^c)


Homework Equations





The Attempt at a Solution


A) So at the start there are 6 chips, probability of pulling out the first one of any color would be 6/6 then there is one less in the bag but we now need the same color as we hauled out the first time. So if you have a red one out for example there are 5 chips left and only one is red so is it 1/5 chance?
 
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Wouldnt the answer be the same for both A and B ?
 
Do you understand what A and B ask? Neither A nor B asks for a probability. That is the last question in the problem (that is not labeled). A and B merely asks for a lists of the "events"- that is, a list of the pairs of chips that satisfy the conditions "two chips of the same color" for A and "two red chips" for B. No, the answers are not the same- and nothing that you said under "A)" has anything to do with the answer to A.
 
So for the first one it can be defined as {WW,BB,RR} because those are the chips that can satisfy the conditions?
 
Can someone please help me this is the easiest of 4 questions I have left I'm lost
 

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