Need help on working out of a probability problem

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Homework Help Overview

The problem involves calculating probabilities related to team selection in a doubles tennis game involving two couples. Participants are tasked with determining the likelihood of specific team compositions based on random selection from a group of four individuals.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to visualize the problem using tree diagrams or tables but expresses confusion about how to represent groups of teams instead of individual pairings. Some participants question the effectiveness of these methods for this specific scenario.

Discussion Status

The discussion is ongoing, with participants exploring different ways to represent the problem and clarify the requirements for calculating the probabilities. There is no explicit consensus yet, but guidance is being sought regarding the possible team combinations.

Contextual Notes

The original poster indicates difficulty in visualizing the problem setup and expresses uncertainty about how to organize the information for effective analysis. There may be constraints related to the methods of representation that are being discussed.

paperdoll
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Homework Statement



I am so confused/lost with this problem because I don't know how to draw it out (table or tree diagram?) I can't figure out how to lay out all the combinations in a simple manner.Two couples, Mr and Mrs Jones and Mr and Mrs Smith play doubles in tennis. Each time they select the teams by placing all four names in a hat and randomly selecting two names. These two form one team and the remaining two form the other team.
WHat is the probabality of:
a)each wife partnering her husband
b)one male and one female on the team
c)the two men in one team and the two ladies in the other?

Homework Equations


table, tree diagram

The Attempt at a Solution


Okay, tried drawing a tree diagram but it didn't seem to work because I need groups of 2 teams and when I draw the diagram, there is only 1 team...so it won't work. I'm not sure how can I set the info out so that I can have "groups" of teams, rather than the probability of picking individual "2 person teams".
 
Last edited:
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Hmm, something must have happened to the "The attempt at the solution" section...
 
micromass said:
Hmm, something must have happened to the "The attempt at the solution" section...

edited...I tried to explain, hope it makes kind of sense :confused:
 
Hi paperdoll! :smile:

Which possible teams are there?
 

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