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by jiantao
September 8th, 2009, 7:53 pm
Forum: Brainteaser Forum
Topic: Maximum Flags
Replies: 6
Views: 36953

Maximum Flags

Sorry. I understood the question wrong. I agree with you that 12 is the upper bound.
by jiantao
September 8th, 2009, 1:41 pm
Forum: Brainteaser Forum
Topic: Maximum Flags
Replies: 6
Views: 36953

Maximum Flags

14
by jiantao
March 11th, 2005, 7:01 am
Forum: Careers Forum
Topic: Goldman Sachs - Commodities
Replies: 6
Views: 158725

Goldman Sachs - Commodities

I had interviews with this group early this week, and I am waiting for their decisions. I have very good impression about this group. The interviewers are smart, and the trading they are doing sounds great to me.
by jiantao
February 26th, 2005, 12:54 am
Forum: Brainteaser Forum
Topic: What is the probability?
Replies: 8
Views: 160526

What is the probability?

<t>Let us suppose that there are N integers from 1, ..., N. We will pick up two random numbers A and Buniformly from this set. Suppose that the prime numbers in this set are: p1, p2, ..., p_mthen the probability that p1|A and p1|B is: C(N/p1, 2) / C(N,2) with is almost 1/p1^2 when N is large.Then th...
by jiantao
February 25th, 2005, 7:49 pm
Forum: Brainteaser Forum
Topic: What is the probability?
Replies: 8
Views: 160526

What is the probability?

What do you mean by "random", Poisson distribution, Gaussian distribution?Can you give more specific P(x=n)?
by jiantao
February 15th, 2005, 10:57 pm
Forum: Brainteaser Forum
Topic: Game Theory Teaser
Replies: 24
Views: 163739

Game Theory Teaser

<t>Two generals have the same amount of units (continuous) to compete over three battlefields in a campaign. In each battlefield, the general who assigns more units wins. The general winning 2 battlefields wins the entire campaign. They simultaneously announce their decision of unit distribution ove...
by jiantao
February 14th, 2005, 11:43 pm
Forum: Careers Forum
Topic: Phone interview for IRP at GS
Replies: 21
Views: 164595

Phone interview for IRP at GS

<t>Is this a group in FICC?I had an on-campus interview with FICC in GS last month. There were one programing language question, one algorithm&data structure question, two probability question, one about ODE, and three questions from quantitative finance. I didn't get brainteaser type questions....
by jiantao
February 9th, 2005, 9:48 pm
Forum: Brainteaser Forum
Topic: Points on a circle
Replies: 12
Views: 166674

Points on a circle

Given n points drawn randomly on the circumference of a circle, what is the probability they will all be within any common semicircle?
by jiantao
February 6th, 2005, 7:08 pm
Forum: Brainteaser Forum
Topic: Minimum Correlation
Replies: 24
Views: 168595

Minimum Correlation

<t>Quote The correlation of X and Z depends on the correlation of the residuals when each of these is regressed on Y. If the correlation of the residuals is zero, the correlation of X and Z is 0.72 (0.9*0.8). If it is one, the correlation of X and Z is 0.98. If it is negative one, the correlation of...
by jiantao
February 6th, 2005, 7:06 pm
Forum: Brainteaser Forum
Topic: Probability teaser
Replies: 5
Views: 162299

Probability teaser

The answer is correct. I aslo did in this way. But it is tedious to check all the six situations. There are smarter way to solve this problem.
by jiantao
February 5th, 2005, 11:20 pm
Forum: Brainteaser Forum
Topic: Probability teaser
Replies: 5
Views: 162299

Probability teaser

Given two i.i.d uniform random points x and y on the interval [0,1] , what is the average size of the smallest of the three resulting intervals?
by jiantao
February 4th, 2005, 8:42 am
Forum: Brainteaser Forum
Topic: Minimum Correlation
Replies: 24
Views: 168595

Minimum Correlation

If X, Y, and Z are 3 random variables such that X and Y are 90% correlated, and Y and Z are 80% correlated, what is the minimum correlation that X and Z can have?
by jiantao
January 6th, 2005, 8:55 pm
Forum: Brainteaser Forum
Topic: Another Box problem
Replies: 15
Views: 172179

Another Box problem

Hint: The assigments in the box should be the sequence1, 1, 2, 3, 4, 6, 9, 14,...
by jiantao
January 5th, 2005, 6:58 am
Forum: Brainteaser Forum
Topic: Another Box problem
Replies: 15
Views: 172179

Another Box problem

QuoteOriginally posted by: rblaser16 boxes would do it. This generalizes to 2*ceiling[log_3[N]+1].I am afraid that 16 is not enough. If you post the box assignment, I can check it for you.
by jiantao
January 5th, 2005, 12:07 am
Forum: Brainteaser Forum
Topic: Another Box problem
Replies: 15
Views: 172179

Another Box problem

<t>QuoteOriginally posted by: alexandreCby any chance, is it(with some modifications in case the result is a non integer)(but am so tired at this time, so this might be nonsense.)I am afraid that this is not a right answer!It is specified that: " give any TWO AMOUNTS $X and $Y". This means that you ...
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