Geometric probabilities with rectangleOne side of rectangle is 1.2 other is 3.9. We randomly pick points on adjacent sides and then draw a stretch through them. What is the probability that the area of the received triangle is less than 1.15?

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i4epdp · Accepted Answer

Step 1If I pick a point on the longer side, let&#039;s say it gives us a base of length x, then how tall can the height, y, be such that   A  =      1    2    x  y  &amp;lt;  1.15     holds? So how can you write   P  (  A  &amp;lt;  1.15      |    X  =  x  )     as a probability on Y (that will be a function of x)?Step 2So having done that, you then need to find the unconditional probability across all possible values of x, which is where you will need to integrate.

One side of rectangle is 1.2 other is 3.9. We randomly pick points on adjacent sides and then draw a stretch through them. What is the probability that the area of the received triangle is less than 1.15?

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