does anyone have answers for #s 1,2, 4 and 5 in the original post? The OP didn't give them. I got:
1.sqrt(2),
2. 2e^(n2pi/6) where n is an integer from 0 to 5
4. 3/4
5. 1/8
ok. i found the mistake in my work, I do get 1/4 for that one.5. no. it's 1/4.
Note that 4 and 5 are effectively the same question.
4. 3 points are randomly drawn on a circle. What is the probability of them being on the same semi-circle ?
If person A flips 99 fair coins and obtains heads x times. Person B flips 100 fair coins and obtains heads y times. What is the probability that x < y?
If person A flips 99 fair coins and obtains heads x times. Person B flips 100 fair coins and obtains heads y times. What is the probability that x < y?
not sure about this but isnt this just the difference of 2 binomial rvs?
This is from a phone interview with a tier 1 bank.
Let A be an n by n square matrix where n is odd. Each column and each row is a permutation of numbers from 1 to n. Prove that diagonal is a permutation of numbers from 1 to n.
New member here. Just wanted to throw in my 2 cents.
This is a misleading question, because the presumed true answer is actually false. Play sudoku lately?
[Edited to add a solved Sudoku puzzle]
6 9 1 5 4 7 2 3 8
3 8 4 2 6 1 9 7 5
5 7 2 3 8 9 4 1 6
8 3 6 9 7 5 1 4 2
7 1 9 6 2 4 5 8 3
2 4 5 8 1 3 6 9 7
9 6 7 1 3 2 8 5 4
4 5 8 7 9 6 3 2 1
1 2 3 4 5 8 7 6 9
could you clarify the "an algorithm to fill in the matrix" part?