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?
Suppose you are given the opportunity to bid for a treasure chest, which you know to be priced uniformly anywhere between £0-£1000. If you bid equal to or above the price, you win the treasure chest (at the cost of your bid). If you bid below the price, you do not earn the treasure chest. Now, also suppose you can sell the treasure chest for 1.5 times the price of the treasure chest (should you obtain the chest). What should your bid be?
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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