Need help on working out of a probability problem

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The discussion revolves around a probability problem involving two couples, Mr. and Mrs. Jones and Mr. and Mrs. Smith, who randomly select teams for tennis. The main confusion lies in how to effectively represent the combinations of teams, particularly whether to use a table or a tree diagram. The user struggles with visualizing the groupings needed to calculate probabilities for specific scenarios, such as each wife partnering her husband or forming teams of one male and one female. Attempts to create a tree diagram have been unsuccessful, leading to further questions about the best approach to solve the problem. Clarification on possible team combinations is sought to aid in understanding the probability calculations.
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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 probablity of picking individual "2 person teams".
 
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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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