Toss 4 coins - probability of more than 2 heads - expected winnings if $1 for each heads - expected winnings if can re-toss 1 coin if chosen 1 20 sided die - player A and B both choose a number. Whoever's number closest to value of the die wins the amount on the die. - optimal strategy? do you want to go first? - what is the expected winnings?
Say I take a rubber band and randomly cut it into three pieces. What's the probability that one of the pieces has length greater than 1/2 of the original circumference of the rubber band.
roll a 30-sided die (Number 1-30) many times and add all up the outcomes. stop rolling when the sum >= 300. what's the most likely result of the sum?
3 pancake. one is with both sides burned, one is with one side burned, the last one with no sides burned. Combined them in a plate. The top side is burned. what is the probability of the other side is burned?
I have a square, and place three dots along the 4 edges at random. (1) What is the probability that the dots, when connected, do not form a triangle? (2) what is the probability that the dots lie on distinct edges?
What is your dream job ?
If you had a brand, unique to you, what would that brand be and why?
You have a 64bit interger counter set to 0. How long it will take to overflow the counter given that you are incrementing it at 4Ghz speed.
Given an unsorted array of integers, find first two numbers in the array that equal a given sum.
Interviewer ask me to solve some permutation related problems. 1) Algorithm to get Index of a permutation when all permutations arranged in lexicographical order and its complexity
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