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Jul
17
comment Free throw interview question
This answer doesn't address that if your chance of making the shot is more than 67%, then you would rather the 20/30 case. This answer seems to suggest that you always take the first choice.
Jul
15
comment What is the probability that A will win…
@user21820 it's generally accepted that if each trial has a fixed, non-0 chance of ending, then the probability of ending is indeed 1. This "reroll" or "redo" logic, is intuitive, and widely used. In ANY case. The method is not wrong. At best you can say the justification is incomplete. But saying: "The probability of eventually rolling one of these cases is 1 as $\prod_0^\infty{25/36}=0$"
Jul
15
comment What is the probability that A will win…
@user21820 That is an entirely different game. The fact that it works with the other answers is irrelevant. In the current game, enumeration works. Period. The game goes on forever with probability 0 as long as you use the same dice on each iteration. And this works for any number of sides on the die. As long as its fixed.
Jul
14
comment Can a coin with an unknown bias be treated as fair?
This doesn't work for all biases(fails with bias 100% and 0%). And all biases close to that, make this impractical. The fun part is that the practical cases aren't likely to fall into these categories.
Jul
14
accepted Does taking the power set give you the “next biggest cardinal”
Jul
14
comment Does taking the power set give you the “next biggest cardinal”
Oh dear. It looks like I have a lot of reading ahead of me. As usual, the answer is never as simple as you'd like it to be ^.^
Jul
14
asked Does taking the power set give you the “next biggest cardinal”
Jul
14
comment What is the probability that A will win…
I really like this solution
Jul
14
comment What is the probability that A will win…
I arrived at 5/11 a little bit differently. I know the probability of 6 is 5/36. Probability of 7 is 6/36. Together these only make 11/36 possible cases. So we need to scale each probability up by 36/11 which simplifies to 5/11.
Jul
14
comment What is the probability that A will win…
@georg This answers a different question. And doesn't actually give a concrete answer to this question.
Jul
10
comment How to prove which is bigger?
Frankly, since the question assumes that on the range (0, inf) ONE of these is actually bigger, then simply plugging in the number 1 to both of them and seeing which is bigger there should give you the answer. (It's impossible for it bigger for the case of x=1, and yet smaller for all cases of x>0)
Jul
8
comment Among any three consecutive positive integers one is a multiple of 3
ooo, I like the induction here.
Jul
2
awarded  Curious
Jun
27
comment Why it is always circle to represent a Set?
lowfat yogurt is in the "LOW FAT" category. How surprising. Also reminds me of the seinfeld episode with the low fat yogurt :)
Jun
27
comment Solving for Cos Exactly
I would just use the unit circle ^.^
Jun
27
comment Puzzle about technique of fair using of unfair coin
math.stackexchange.com/a/736670
Jun
24
comment If A = B, then B = A… Not Always True? Definition of “=”
@Iftah Yeah. Sets don't really directly translate into any natural language that we use. You can do bad things in math being frivolous too. 4 is in the set {1, 4, 5}. {1, 4, 5} is in the set of all sets of length 3. 4 is in the set of all sets of length 3.
Jun
23
comment If A = B, then B = A… Not Always True? Definition of “=”
@iftah I think we're talking about "is a" not just "is". In this example you wouldn't say "Jacuzzi is Hot Tub". Rather "a Jacuzzi is a Hot Tub". The "is" as you've used it, is used to assign a property (namely white in this case) to something. But you wouldn't say "a wall is a white".
Jun
19
comment definition or property of logarithms
Oh, I know the last one. It's because $$a^{1}=a$$
Jun
19
accepted definition or property of logarithms