Consider ten bins numbered 1,2,3,...,10. A red ball is randomly placed in one of the bins, and then a black ball is rand

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Consider Ten Bins Numbered 1 2 3 10 A Red Ball Is Randomly Placed In One Of The Bins And Then A Black Ball Is Rand 1 (71.51 KiB) Viewed 45 times

Consider ten bins numbered 1,2,3,...,10. A red ball is randomly placed in one of the bins, and then a black ball is randomly placed in one of the bins with a number that is larger than that of the red ball bin. All configurations are equally probable. The balls cannot occupy the same bin. a) Calculate the probability for the red ball to be in the bin number 5. [1] b) Calculate the probability for the black ball to be in the bin number 5. [3] c) Calculate the probability that the number of empty bins between the two balls is smaller than 7. [¹]