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in this series we will go over some of the more interesting problems that iamp;#39;ve encountered in quant interviews a fair six-sided die is rolled until all the numbers show up the order in which the numbers appear does not matter what is the expected number of die rolls for the question we are looking at today you have three minutes you can pause the video and try to find the answer and iamp;#39;ll see you back here letamp;#39;s remind ourselves of some definitions and formulae a bernoulli trial is a random experiment with exactly two possible outcomes success and failure in which the probability of success is the same every time the experiment is conducted the shifted geometric distribution is the probability distribution of the number x of bernoulli trials needed to get one success supported on the set 1 2 3 etc the geometric distribution is denoted by g of p where p greater than 0 is the success probability the mean of the geometric distribution is 1 over p now letamp;#39;s p
