You have been chosen to play a game involving a 6-sided die. You get to roll the die once, see the result, and then may choose to either stop or roll again. Your payoff is the sum of your rolls, unless this sum is (strictly) greater than 6, in which case you "bust" and get nothing. What is your strategy for this game? That is, for each possible outcome of the first roll will you choose to stop or to roll again? Why?
We have two urns. You can't tell them apart from the outside, but one has three $1 chips and seven $10 chips, and the other has eight $1 chips and two $10 chips. You randomly draw a chip from one of the urns and it happens to be a $10 chip. Without replacing this draw, I offer you a chance to draw and keep a chip from either urn. Should you draw from the same urn or the opposite urn, and what is the expected value of the chip you draw? Why?
X,Y,Z are iid uniformly distributed on [0,1], what's the probability that X+Y>Z?
Given 999 distinct numbers between 1 and 1000, find one/two that is/are missing.
conditional probability questions: there is a test to test one's IQ. If your IQ is x, you will get a score between x-10 to x+10. Now someone's score is 150. What's his IQ range? Can you tell the best estimate? If not, what else condition you need?
Given an array with only binary numbers, ex. 110110101, sort it in better than NlogN. You have two integers or pointers, and that is all that's allowed for space complexity.
X and Y equal $2.50. X is twice the cost of Y. What are X and Y respectively?
If you have a calculator with only the number 0 on it instead of all digits, how would you get it to display a 24?
Why Ralph Lauren? Tell me a problem that occurred in work and how did you address that issue? What hobbies/interests do you have outside of the professional world?
Tell me about yourself?
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