<p>Here’s my clear response to argue for 1/54. </p>
<p>When you calculated the 216 possibilities, you did so doing a permutation (x<em>x</em>x…). Because it is a permutation, the order of the numbers is important, and creates distinct values. In this case, that means that 656 != 665 != 566. All three of those are distinct values, that are included in the 216 possibilities. Because those 3 are all part of the 216, then they also have to be considered when you’re doing the probability that they will appear.
It’s unfortunate 1/6<em>1/6</em>2/6 gives the wrong answer, because that’s a more logical and mathematical approach than writing out all the possibilities that the sum be equal to 17 or 18…
But hell, I could be wrong too. It’s just my two cents. We’ll all know on October 28th :)</p>
<p>Look at the first chart; in the column for 3 dice, look at the probability for rows 17 and 18. 17 is 3/216 and 18 is 1/216. Since the question asked “a sum of 17 OR 18”, you add, so it is 4/216 (1/54).</p>
<p>Does the order of the dice matter? I don’t think so. No where in the question did it specify that the order of the dice matter… therefore 655 and 666 are the possible combinations. (2/216) = (1/108)</p>
<p>"Does anyone remember the exact equation in the question with an answer like </p>
<p>x^2 < 3/5 y^2
or something like that? That’s the only question I’m concerned about, I really hope I didn’t misread something"</p>
<p>I remember that question. It was a matter of wheter the lessthan-greaterthan sign flips when you use division. I think I answered with the flipped one but I am not sure if I am right.</p>
<p>My experimental was math and it had a question about kids bringing something to school and it had a chart with 0 kids bringing 3 items, 1 kid bringing like 4 items etc. The question was how many items could 4 kids bring so that the total mean was greater than the median number. Did anybody get a question like this because im sure it was like number 17 in the experimental math.</p>
<p>It only flips if you divide by a negative number. I’m pretty sure the question stated that x and y were both positive integers, which would mean the sign doesn’t flip</p>