SIG (Susquehanna)–styleQuant ResearcherQuantitative ResearcherQuestion #123
1. A painted 3x3 cube consists of 27 small cubes. If one small cube is selected at random and thrown, and upon landing only its unpainted sides are visible, what is the probability that this cube is completely unpainted? 2. Eight people are sitting around a table. If three are selected randomly, what is the probability that at least two of the selected people were sitting next to each other?
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More SIG (Susquehanna)–Style Quant Researcher Questions
Calculate the probability of having a disease given that a diagnostic test result is positive. What is the probability if the test result is positive twice?A painted 3x3 cube consists of 27 small cubes. If one small cube is selected at random and thrown, and you observe only the unpainted sides, what is the probability that the selected cube is completely unpainted?Nine white cubes are arranged into a 3x3 cube and the outside surfaces are painted green. A cube is randomly selected and rolled. If the side facing up is white, what is the probability that this cube was the middle (center) cube?Two points are uniformly distributed around the circumference of a unit circle. What is the expected value of the distance between them?A deck of 18 custom playing cards is numbered from 1 to 18. A card is drawn 6 times with replacement. If X is the number of draws that result in a prime number, what is the expected value of X (E(X))?
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