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8 points are spaced around at intervals of one unit around a 2 x 2 square as shown. If 2 of the 8 points are chosen at random, what is the probability that they are more than one unit apart?

 

 Jun 13, 2020
 #1
avatar+902 
+1

Think of it this way. You pick any spot, and you have 2 points to either sides that are 1 unit away.

thus we have 7-2 /7 = 5/7 probability

 

if you don't understand anything feel free to ask!

 Jun 13, 2020
 #2
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+1

Here’s something I don’t understand: 7-2 /7 = 47/7 not 5/7

Guest Jun 13, 2020
 #3
avatar+732 
+1

i think what hugo meant was \(\dfrac{7-2}{7}=\dfrac{5}{7}\text{ probability}\)

lokiisnotdead  Jun 13, 2020
 #4
avatar+902 
+1

Thanks for clarifying, loki.

 

That is indeed what I meant.

 

(oops next time I'll do parentheses!)

hugomimihu  Jun 13, 2020

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