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Ten people are sitting around a round table. Three of them are chosen at random to give a presentation. What is the probability that at least two of the three chosen people were sitting in consecutive seats?

 May 13, 2022
 #1
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there are 10 ways that 3 consecutive people can be chosen.

There are 10* 6 ways that 2 (but not 3) consecustive people can be chosen

So that is  70 ways that at least 2 consecutive people are chosen.

 

There are 10C3 = 120 ways that any 3 people can be chosen

 

so maybe  70/120 ways.

 

That is my best guess.

 May 21, 2022

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