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michaelwright

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- TL;DR Summary
- Out of 4M people, what's the probability of randomly choosing 3 who all play a particular sport for a specific team?

Hi folks - I need some help with a tricky probability. Here's the situation:

Let's say there are 4M internet users in Age Group A. (The total set)

Of those 4M, there are 1,000 users who play a specific sport.

Those 1,000 are spread evenly over 125 teams, so 8 players each.

1. What's the probability of selecting 3 random users (from the 4M) who all play that sport?

2. What's the probability of all 3 random users being members of the same team?

This isn't a school problem - I'm a 47 year old writer, and I need to figure out this absurdly improbable number. (The improbability is the point.) Any advice / guidance / direction here would be appreciated! (I have a moderate familiarity with combinations & permutations, and their notations, so do feel free to use whatever formulae / notations are needed. An online calculator for this type of problem would be a great help, too!)

Any questions, please feel free to let me know. Thanks! ~ MW.

Let's say there are 4M internet users in Age Group A. (The total set)

Of those 4M, there are 1,000 users who play a specific sport.

Those 1,000 are spread evenly over 125 teams, so 8 players each.

1. What's the probability of selecting 3 random users (from the 4M) who all play that sport?

2. What's the probability of all 3 random users being members of the same team?

This isn't a school problem - I'm a 47 year old writer, and I need to figure out this absurdly improbable number. (The improbability is the point.) Any advice / guidance / direction here would be appreciated! (I have a moderate familiarity with combinations & permutations, and their notations, so do feel free to use whatever formulae / notations are needed. An online calculator for this type of problem would be a great help, too!)

Any questions, please feel free to let me know. Thanks! ~ MW.