In a best of 7, first to 4 competition (I think the nba finals was used in his phrasing), what are the odds that a game 7 is played?
Trader Assistant Interview Questions
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Q1: What is the smallest number whose digits multiply into 216. What about 10,000? Q2: Calculate the probability of getting 3 heads after 4 coin flips. What is the probability of getting an odd number of heads for 4 flips? What about for 9? What about for N flips? Q3: What is the next date whose digits are all unique? Q4: Getting heads-tails-heads and heads-heads-tails are equiprobable after 3 coin flips. But if I keep flipping a coin, I'm more likely to get one of these combinations than the other. Why is that?
Probability calculation. Math problems.
Find the largest 5-digit number such that the pairwise digit sums of the numbers are unique. Find the smallest 5-digit number with the same property. Explain why it doesn't work for 7-digit numbers. Does it work for 6-digit numbers?
You have 3 cards, each labeled n, n+1, n+2 and you don't know n. The rules of the game: All cards start face down. You flip one card. If you "stay", you get that card's value. If you don't "stay", then you flip another card. Again, choose to "stay" (and keep the 2nd card's value) or flip the final card and keep the final card's value. Design the optimal strategy.
You have 2 clocks, that are x hours apart. What is the probability that at any given time, both clocks' minute and hour hands form acute angles?
3/?=?/48
There are 4 balls, two red and the two blue. You choose a color each time and a random ball is picked from the sample (w/o replacement). If your choice and the random pick matches, you gain one dollar. Repeat this four times. How much would you pay to play this game
If you could play a game just once with two choices: take $1 or have a 1/10 chance of getting $10, what would you choose? How about $1 vs 1/10 chance of $15? How about $10000 vs 1/10 chance of $100k?
there are 100 bags, each contains 100 iron bars except one that contain 100 gold bars. give you a scale, how to identify the special bag by weighting only one time?
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