Fox 329

E[R] below can be computed depending on the random process... Try to guess what it is before computing. Randomness may be a fancy business...
See a similar concept: Bertrand Paradox

Dervish Fox: How can you cut a square randomly?

Red Fox: Here is a way; first generate a random number to represent point A. Then another random number for point B along the three others sides. Drawn the line AB, and cut it out.

Dervish: And how can you generate a random number?

Red: Excel does it easily. Type "=RAND()", and boom, you get one right away.

Dervish: But that depends on some seed numbers in the machine's memory, no?

Red: Yes, that's why they call them pseudo-random numbers. Do you have a problem with that?

Dervish: I have a bigger problem than that.

Red: So... you believe that random numbers can't exist.

Dervish: I believe that the word "random" should be removed from all world dictionaries.

Red: Radical.

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Fox 324

Before starting to publish received solutions for earlier foxes, let's start with a new one. Here, "random selection" means that points P and Q are uniformly distributed along 2 parallel sides.

Ahh, yes, expected value of the "ratio of" the bigger area to the smaller one is asked - obviously. Let's give some leeway to minor mistakes in our life. "Perfect" may sometimes be boring!

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Fox 240

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Now this asks little more than geometry.

Note that the random process described in the question is discrete.

Ladybugs "appear" in next vertices at the same time.

Fox 229

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Fox 217

Have beautiful days with your families

and the loved ones!

See you guys next year!

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Yourself should show mercy on yourself.
Break your daily routine,
Do something out of the box.
While enjoying the time...
NEVER QUIT THINKIN' !

Fox 201

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Fox 199

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