In all the arrangements of a circular ordering (?) from 1 to 5 what is the expectation of the number(s) that are higher than the ones to both its right and left?
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If i roll two dice and multiply the two outcomes, what is the probability of a perfect square?
What is the sum of the square root of every number from 1 to 100?
The interviewer gives you 100 blank cards, and you can write a single positive integer on each card. The interviewer looks at the cards when you're done (so he knows the probability distribution of the deck), then shuffles the deck. The interviewer guesses the top card of the deck, and if he's right, he makes in $ the number written on the card. What numbers should you write on the cards to minimize the expected return of the interviewer?
If gas costs $2.27 a gallon, how many full gallons can you purchase for $200. I had a little less than 15 seconds to answer.
You have 5 unknown numbers. There are 10 options in selecting two out of these five. Sum each of those two together, thus you have 10 numbers. You're given these, find the original 5 numbers.
you asked someone to take a test. test contains 5 answers for each question. only one answer is correct. u look at finished test and see that given answer is right. what is the probability that test taker really knew (derived) the answer, not guessed?
Player 1 chooses a number, then Player 2 chooses a different one. 2 dices are tossed, and whoever is closer to the outcome wins. Would you be P1 or P2? What number do you choose?
What is the sum of 1-40?
Assume that on a chessboard, the King piece is on tile E1 (bottom row, 5 columns across). It can move straight forward, forward diagonally to the left, or forward diagonally to the right on each move. How many different paths can it take to get to tile E8 (top row, five columns across) in exactly 7 moves?
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