There exists a six-sided die. The die is rolled. You are paid $x if the die shows x dots (e.g. if you roll 3, then you are paid $3). What is a fair price for this game? Additional layer: after rolling the die once, you have the option of taking the rolled amount or rolling again. However, if you roll again, then you must take the amount corresponding to the second roll. What is a fair price for this game?
What's the probability of getting 2 tails before 3 heads?
Probability calculation. Math problems.
3/?=?/48
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?
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?
Viewing 271 - 280 interview questions