In one throw of two six sided dice the probability of gettinga 7 is p=1/6. If yo

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In one throw of two six sided dice the probability of gettinga 7 is p=1/6. If you throw the dice repeatedly, the probabilitythat the 7 will appear for the first time at the nth throw isq^n-1p, where q=1-p. The expected number of throws until a 7 firstappears is nq^n-1p. n=1 a. Find the sum of this series? b. How many throws do you think it should take before youwould throw an 11? In one throw of two six sided dice the probability of gettinga 7 is p=1/6. If you throw the dice repeatedly, the probabilitythat the 7 will appear for the first time at the nth throw isq^n-1p, where q=1-p. The expected number of throws until a 7 firstappears is nq^n-1p. n=1 a. Find the sum of this series? b. How many throws do you think it should take before youwould throw an 11? a. Find the sum of this series? b. How many throws do you think it should take before youwould throw an 11?

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