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 Showing results 1 to 25 of 479 Search took 0.03 seconds. Search: Posts Made By: bigpooch
 12-01-2007, 11:04 AM Replies: 4 Views: 62 Posted By bigpooch Re: Hyperfactorial Problem Okay, the problem is equivalent to showing: C(x+b,b)C(x+b+1,b)...C(x+b+m,b) is divisible by C(b,b)C(b+1,b)...C(b+m,b) for any integer x>=0. This can be shown, but is...
 12-01-2007, 02:55 AM Replies: 4 Views: 62 Posted By bigpooch Re: Hyperfactorial Problem Ignore my last post!
 12-01-2007, 01:01 AM Replies: 7 Views: 38 Posted By bigpooch Re: An original math problem Basically, pzhon answered it all but he wasn't explicit about 4): A very rough approximation for the EV of the game for general n is sqrt(pi*n) - 8 (including the \$7 fee...
 12-01-2007, 12:25 AM Replies: 4 Views: 62 Posted By bigpooch Re: Hyperfactorial Problem Isn't this "superfactorical" instead? Answer: (m+n)?/m? = (m+n-1)!...m! f(a,b,c) = [(a+b+c)?/(a+b)?]c?/{[(a+c)?/a?][(b+c)?/b?]} =...
 Forum: Probability 11-30-2007, 09:50 PM Replies: 2 Views: 21 Posted By bigpooch Re: 7 Card stud, who wants to do the math for me??? Not all correct. There are 4 combinations of KKK out of C(52,3)= 22 100; therefore, the probability is 1/5525. So getting KKK and then AAA is exactly 1/30 525 625 (this part is correct). ...
 11-30-2007, 03:52 AM Replies: 134 Views: 186 Posted By bigpooch Re: \$43 million error at Party (screenshot) Actually, it is 2^32 - 1 cents. If the OP had won \$0.01 before contacting PartyPoker, his balance might become zero. [ I don't think anyone can have a negative balance, right? ]
 11-29-2007, 07:41 PM Replies: 7 Views: 21 Posted By bigpooch Re: Antiderivative problem d/dx(ln(ax+b)) = a/(ax+b) so d/dx(1000/3 ln(3x+1)) = 1000/(3x+1)
 11-29-2007, 07:38 PM Replies: 7 Views: 21 Posted By bigpooch Re: Antiderivative problem You mean 1000x ------- x^2 + 16 for the last one. Hint: d/dx (ln u) = (du/dx)/u
 11-28-2007, 07:54 PM Replies: 7 Views: 38 Posted By bigpooch Re: An original math problem A simple arithmetic error in 3): if you get 30 right (approximately what you'd expect when the deck evens out 8 times), excluding the fee, the gain is \$30-\$22 = \$8. ...
 11-28-2007, 07:43 PM Replies: 7 Views: 38 Posted By bigpooch Re: An original math problem It was your post on SMP that inspired me to post this problem; it's helpful for part 3).
 11-28-2007, 06:36 PM Replies: 7 Views: 38 Posted By bigpooch An original math problem This is related to a recent post on SMP. The "proposition" ---------------- You pay \$7 for the privilege of playing this game with an ordinary deck of cards: 26 red cards and 26 black. You ...
 11-26-2007, 07:50 PM Replies: 24 Views: 29 Posted By bigpooch Re: Maths problem For the RHS of the recurrence is 4^n, the solution is combinatorial. Are you suggesting techniques or methods that are useful in the general case: where the RHS = g(n) (even simply if g(n)=b^n...
 11-25-2007, 09:14 PM Replies: 131 Views: 92 Posted By bigpooch Re: Average SMP IQ. Pretty close. I don't want to sound like a nit, but if IQs are normally distributed with mean 100 and SD = 15, prob(IQ>=194) ~ 1/5 422 000 000. We should be skeptical of claims of any IQs >...
 11-25-2007, 08:43 PM Replies: 22 Views: 20 Posted By bigpooch Re: Define Intelligence. From http://en.wikipedia.org/wiki/Intelligence: [ The neutrality of this article is disputed. ] The definition of intelligence has long been a matter of controversy. Intelligence comes from...
 Forum: Probability 11-25-2007, 05:11 PM Replies: 2 Views: 26 Posted By bigpooch Re: Combinatorics messing with me... You are overcounting the situations where you receive more than one of the two key cards. Of the C(49,4)=211876 combinations, you get these number of combinations for: 2 key cards: 4 x 4 x...
 11-25-2007, 12:47 PM Replies: 5 Views: 21 Posted By bigpooch Re: Quick Math Question - Lagrangian You mean "Lagrange Multipliers"; link: http://en.wikipedia.org/wiki/Lagrange_multipliers
 Forum: Probability 11-25-2007, 12:37 PM Replies: 2 Views: 33 Posted By bigpooch Re: Probability of Flush Given 3 clubs on flop Seems right: P(first player has flush) = C(10,2)/C(49,2) = 45/1176 P(1st and 2nd player has flush) = [C(10,2)/C(49,2)][C(8,2)/C(47,2)] ~ 0.0009911457645 (call this p) P(1st, 2nd and 3rd player...
 11-25-2007, 12:16 PM Replies: 11 Views: 14 Posted By bigpooch Re: Simple storage problem (math) This is a worthwhile idea to consider. Define g(p) to be a "modified gap" function g(p) = (q-p-2)/2 where q is the least prime >p. [ Take advantage that the difference between successive...
 11-25-2007, 06:47 AM Replies: 18 Views: 26 Posted By bigpooch Re: Two Olympiad Problems The "elliptical idea" seems the most elegant IMO (but I'm biased since this was the idea that struck immediately).
 11-24-2007, 02:05 PM Replies: 131 Views: 92 Posted By bigpooch Re: Average SMP IQ. I wrote the Putnam in a year when the problems were easier than usual (>10 years ago) and regretted not "studying for it" (amazingly knew hardly any abstract algebra!) and had a sick feeling...
 11-24-2007, 12:59 PM Replies: 11 Views: 14 Posted By bigpooch Re: Simple storage problem (math) This is interesting, but does use the knowledge about the exact number of primes <2.29 x 10^9, although it's quite easy to compute. Without having to compute this (perhaps you simply want to...
 11-23-2007, 11:17 PM Replies: 131 Views: 92 Posted By bigpooch Re: Average SMP IQ. FWIW: My raw score on the only Putnam I wrote was in the 70s.
 11-23-2007, 01:41 AM Replies: 11 Views: 25 Posted By bigpooch Re: A Putnam Geometry Problem Was this really on the Putnam? [seems too easy] Answer: Such a rectangle must be able to hold two squares of side 1/sqrt(2), so it has to have length AT LEAST twice...
 11-23-2007, 01:28 AM Replies: 11 Views: 14 Posted By bigpooch Re: Simple storage problem (math) Not quite, but you are on the right track. Out of the integers between 7 and n, 1/2 are not divisible by 2, (1/2)(2/3) = 1/3 are not divisible by 2 or 3, and (1/2)(2/3)(4/5) = 4/15 are not...
 11-22-2007, 09:08 PM Replies: 131 Views: 92 Posted By bigpooch Re: Average SMP IQ. Are there any "legitimate" IQ tests where knowledge or education in mathematics is NOT going to be helpful?
 Showing results 1 to 25 of 479

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