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For some reason I can not get my head around probability. Please show me how to work the problem not just the answers.

Posted on October 19, 2022 by admin

For some reason I can’t figure out the probabilities. Please show me how to solve the problem, not just the answers. A class has 11 students who must be allocated places by lot. What is the probability that the students will be ranked from smallest to largest? (Assume that no two students are the same height.) There are 11! ways to organize students.

One of them will be the correct order from shortest to tallest.

So the prob is 1/11! or 1/39916800

(I looked at it, shortest to tallest from the left, of course we could also have shortest to tallest from the right. In this case, there would be TWO such cases and the problem would be 2/11!

I’ll leave it to you to decide which interpretation is needed) I was also on this line of thought, but there are four possible answers and it doesn’t match any of them. The four possible answers are:

A) 0.00000003; B) 0.1000; C) 0.00000025; and D) 0.00000028

I really want to understand how to work these issues but I’m so lost. 1/39916800 = .000000025

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