probability
...fference. Fred can either choose both cards simultaneously or he can choose 1 then another. In either case the probability is 4/5.
Again this is not correct. As stated, the problem is 1) Fred'...
...is question really addressed in the FAQ? There seems to be a difference between this one and the one about the probability of both children being female. It seems to me that the answer to this questio...
...ally impossible for one arm to grow visibly fater than the others. The complex shape is maintained because the probability of new water molecules sticking is highly nonuniform over the flake (for exam...
...ip again, then eventually it will tell you to go south, and eventually you will get to work.
So, I say the probability is 1 that you would get to work.
Another interpretation is that if you�...
...ready solved this problem for three people. This solution can be extended for any number of people to win with probability 1-1/2^n in at most n rounds as follows.
This is clearly an optimal probab...
Hi,
Picking 4 numbers from 1-100 each more than the previous, what is the probability that you have chosen 4 which fit no pattern (using any function you choose).
What is the probability that the programmer will fix the 4 bugs by replacing them with 6 new bugs?
...pass on the first 100/e (37) daughters and then select the next dowry (if any) that is the highest so far. The probability that you will be successful in selecting the very highest is 1/e.
Eric Fa...
Hi,
Take 5 random, sequential, base 10, positive integers below 10,000.
What is the probability that they do not form part of a known sequence which can be generated by any sensible means.
...
... out of which M are occupied and N-M are empty. If you choose a slot at random (all slots equally likely), the probability that it will be occupied is M/N regardless of how the occupied slots are arra...
... be different! Example. Lottery has n=80 balls. The state chooses p=11 balls You choose r=7 balls. What is the probability of getting k=5 balls correct? I.e. 5 of your seven balls are among the 11 cho...
...and the game may end up a draw anyway, but an irrational one).
rg(3) = 3584, which is quite small. And the probability of a random game of 3 x 3 tic-tac-toe being played rationally is only 4/405. ...
...know-how to simulate a random run and see how the strategies fare statistically. Alternatively, true devils of probability calculus will do it by the dry and matter-of-fact pen and paper method...
...
Well, I think you mean that the probability is 1, but, yes, correct...
A round trip conversion from unit A to unit B and back will always yield the same number as long as unit B is smaller than un...
...puzzles phrased in the form 'Prove that for any random number R, between N and K, that the upper limit of probability P1 is less than variable variable variable etc.'
On the other hand, ...
...ated with this 'problem' might be statistical significance in science and business. Often a 5% or so probability is used to draw the line between an observation being valid and one being mer...
...answer).
Note: Ignore all lines that pass exactly through the intersection of two grid lines (consider the probability of this occurrence to be zero).
Carl G....
...s to weigh. Each weighing must yield the maximum information, thus the selection must insure as close to equal probability of any outcome, based on the conditional probabilities given the weighing his...
... 4x4x4 to the 3x3x3 case which runs into two potential problems, each of which occurs independently with a 50% probability (one of problems isn't so tough to solve, the other is the inverted edge...
Some thoughts:
Some of the more complex puzzles weren't solved optimally without a computer (especially if the solution was 'counter-intuitive' . Even if the solution was optimal, it...
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