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Discrete Mathematics
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Discrete Mathematics
Discrete Mathematics
Suppose we throw a 6-sided dice that has probability p of getting the number 6 . We roll the dice independently and multiple times until we get a pair of two consecutive 6 's. Define R to be the random variable equal to the number of times we need to throw the dice to get a pair of two consecutive 6's. Using the law of total expectation, prove that E[R]=p21+p
Suppose we throw a 6-sided dice that has probability p of getting the number 6 . We roll the dice independently and multiple times until we get a pair of two consecutive 6 's. Define R to be the random variable equal to the number of times we need to throw the dice to get a pair of two consecutive 6's. Using the law of total expectation, prove that E[R]=p21+p
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