What is the probability of breaking a stick into 3 pieces and forming a triangle?

Mathematics

1 answer:

kicyunya [14]3 years ago

3 0

The probabilities:

-Two break points are selected randomly (and distributed uniformly) on the stick.

The stick is first broken into two pieces. The longest (or rather, not the shortest) is then broken into two.

-The stick is first broken into two pieces. A piece randomly selected with probability 1/2 is then broken into two.

-The stick is first broken into two pieces. A piece randomly selected with the probability proportional to its length is then broken into two.

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Hello from MrBillDoesMath!

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Hey there,

Question #1

The answer would be in the attachment below.
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Question #2

The answer would be in the attachment below.
_____________________________________________________________

Question #3

The answer would be in the attachment below.
_____________________________________________________________

Question 4#

The last one was kind of tricky. But, as I saw this attachment, I noticed on how the rectangle was actually 3/4 on the base and for the height, it was 1/2. So by doing this,we need to find the area, and we would multiply these both. 1/2 x 3/4 = 3/8 but by looking at your options, those are not simplified so . . .your answer would be 6/16 because 3x2=6 & 8x2=16.
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I really hope this can help you Amanda.

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~Jurgen