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A stick is 5 units long. It is broken at two points, chosen at random. What is the probability that all three pieces are longer than 1 unit?

 Dec 14, 2019
 #1
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The probability is 4/5*4/5 = 16/25.

 Dec 14, 2019
 #2
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This doesn't make sense can you give some explanation?

Guest Dec 14, 2019
 #3
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When we break off the first piece, the probability that the first piece will be longer than 1 unit is 3/5.  (This is because we look at the stick as the interval [0,5], then we can break the stick anywhere between 1 and 4.)  We are now left with a stick with a length of 4.  When we break off the second piece, the probability that the second piece will be longer than 1 is 2/4 = 1/2.  So the answer is 3/5*1/2 = 3/10.

 Dec 15, 2019
 #4
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thats incorrect

Guest Dec 17, 2019

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