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5957The Busiest Bin3 balls are thrown independently and uniformly into 3 bins. Let M be the maximum load, i.e. the number of balls in the most-loaded bin. What is E[M]?概率中等数值题未尝试免费5958Bins With Exactly Two9 balls are thrown independently and uniformly into 6 bins. What is the expected number of bins that contain EXACTLY 2 balls?概率简单数值题未尝试免费5959Coupons With BlanksEach draw is a blank with probability 1/4 (no coupon), and otherwise (probability 3/4) yields one of 3 collectible types, each equally likely. What is the expected number of draws to collect all 3 types?概率中等数值题未尝试免费5960Every Bin Gets a PairBalls are dropped one at a time, each independently into one of 2 equally likely bins. What is the expected number of balls dropped until EVERY bin contains at least 2 balls?概率中等数值题未尝试免费5961A Useful TradeTwo collectors each independently draw a single coupon, uniform over 4 types. They are willing to TRADE only if a swap benefits both, which happens exactly when their two coupons are of different types. What is the probability that a beneficial trade is possible?概率简单数值题未尝试免费