If you have a chess board and two of the corner squares are removed and then you had dominoes where by each domino filled two squares of the chess board, with these pieces removed could you completely fill the remaining chess board squares with no gaps.
what is the square root of 64,000?
A has 6 points and B has 4 points. The flip a coin and if it's a head, then A gets a point. If it's a tail, then B gets a point. What's the probability that A wins with 10 points?
How many coins would you have to toss such that the probability of getting two heads in total is 50%? If A, B, and C are integers between 1 and 10 (inclusive), how many different combinations of A, B, and C exist such that A<B<C? Consider a set containing the integers between 1 and 10 (inclusive). How many unique subsets exist such that the sum of the elements of the subset is 10? What is the expected number of consecutive heads in a sequence of 3 coin tosses?
Home assignment: OANDA operates a trading platform which allows clients to buy and sell currency pairs. When a client makes a trade to buy or a sell a currency pair, the company must decide to either (a) offset the exposure immediately by hedging the trade with a bank, or (b) hold the exposure for a period of time allowing the market to move before hedging the trade. If the company hedges the trade immediately, they will realize a small profit for each trade. If they hold the exposure, then they may realize a large profit or loss, depending if the market moves with or against the exposure. You are tasked with determining (for each client trade) whether we should hedge the trade immediately or should hold on to the exposure for a period of time. Describe how you would perform this analysis, including what data, tools, or processes you would use. State your assumptions. Comment from HR: The trading team is not looking for an exact solution, more to see your understanding of the problem, and for a proposal about how one would go about finding a solution to the problem. No formulas are required.
How would you invest $1 million?
I was asked if I had a cube made of smaller cubes and painted the outside, how many of the smaller cubes would have paint on them.
39 squared. Square root of 1000. Expected value of an envelope with twice or half of 5000. What is your dream vacation, if you were given a week and unlimited funds.
Who is to blame for the financial crisis?
Expected number of flips to get n consecutive heads + modifications
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