(3rd Round) You are given a deck of cards with numbers 1, 2, ..., 100 and 2 boxes. Flip a fair coin 100 times, place the respective card in the left box if H, right box if T. Find the expected minimum card in the box with card 100.
Assistant Trader Interview Questions
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I own a car worth an amount between 0 and 1000 dollars. You can make a single bid on this car. If you bid higher than the value of the car, you pay that much and get the car. If you bid lower than the value, you don't get the car. 1)how much do you bid 2)how much do you stand to lose should you get the car (or something like this) 3) you have a mechanic who can increase the value of the car to a constant multiple of the cars current value. How much should this constant be in order to make bidding worthwhile...
Suppose two players are playing a game. The first player chose an integer between 1-30. The second player picks a different one. After that, a random integer (x) between 1-30 will be generated. The player whose number is closer to x get paid x dollars. Q: Would you go first or second? What number should you pick?
Three Probability Questions Eg, Two fair 6 sided dice rolls - what the the probability of the two top numbers' product being a square number?
you and a friend are playing a coin tossing game. You will be tossing a coin and tracking the results. You each have a sequence you're looking for. Your sequence is HTT, your friends sequence is HHT. the player whos sequence appears first in the game wins. Would you want to play? What is your probability of winning?
What's the weight of each of five melons if their pairwise weights sum to 16,17,18,19,20,21,22,24,25, and 26?
15% of 367
Two teams A and B played football twice. Two independent matches. The average shoot of A in match 1 is greater than B. The average shoot of A in match 2 is also greater than B. So can we say the average shoot of A is greater than B in two matches together? If so, why? If not, give me an example. -------- Failed to give the example, but I believe that the statement is not right.
A tosses n+1 coins. B tosses n coins. B wins if he has at least as many heads as A. What is the probability that B wins?
5 pumpkins, given the sum of weights of every pair of two pumpkin, what's the weight of each pumpkin?
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