There are two racks, X and Y. X contains red (R) socks with probability 0.4 and black (B) socks with probability 0.6. Y contains R with probability 0.7 and B with probability 0.3. I pick a rack randomly. From that rack, I pick 2R. What is the probability that those 2R come from rack X?
What's the angle between the two arms of a clock when it is at 2:30?
How do you select 5 random numbers that add up to 1
First round was a brainteaser/statistics/probability round. First question: you have two fair dice, the sum of which is equal to the value of a security. You have a call option on this security with a strike price of 7. If you are two roll each die once to give you the security value, what are you willing to pay for this call option? Second Question: You have two coins, one fair coin and one with heads on both sides. You randomly choose one of the coins and flip it twice. The results are heads and heads. What is the probability that the coin you flipped is a fair coin. Third Question: You have a spherical balloon that is deflating at a rate such that the radius is decreasing at a constant rate of 4cm/min. At what rate is the balloon deflating when the radius is .25cm. Fourth Question: You have a circle with a radius of one. What is the probability that two randomly chosen points connected by a chord have a length greater than 1? Second Round was all fit. Seems like a pretty unique firm in terms of culture (ski trips, paintball, golf, etc.). The first two guys I interviewed with seemed pretty cool, but the guy from the third round seemed like a hardo. Third Round: They ask you to spend 10 hours reading Hull's textbook on options and futures, which is just about enough time to learn the very basics of options and futures if you have no background. I interviewed with a French guy with a very heavy accent, making it real difficult to comprehend anything coming out of his mouth. First Question: You have a revolver with six chamber slots, and you load two bullets next to each other. You fire the gun once and it's not the bullet. You have the option to either re-spin the chamber, or fire again. Which gives you the higher probability. Second Question: Call option at the money with strike of 100. What is a rough value for the price of the this option. What is the delta of this option?
Toss a fair coin between two people. If it end with HHT, A wins the game. If it ends with HTT, B wins the game. Whats the probability of A wining the game.
You and a friend are playing a game where a random number X, between 1 to 20 is chosen, and one of you will pick a number and then the other will pick a different number. The one that guesses the closer number wins X dollars. Should you choose to go first, and what number should you choose?
Calculate e^5 up to two decimal numbers without calculation
How many ways are there to partition 20 into prime numbers?
What is the probability of getting a sum of 10 if you roll three dice?
If there is an 84% chance of an event happening in an hour, what is the probability that it happens in half an hour?
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