Tuesday, August 27, 2013

What is the minimum number of times should a player throw the die before his/her probability of getting two consecutive sixes is greater...

What is the minimum number of times should a player throw the die before
his/her probability of getting two consecutive sixes is greater...

Consider a fair die with 6 faces - the probability of each number
appearing on any throw is equal to 1/6. What is the minimum number of
times should a player throw the die before his/her probability of getting
two consecutive sixes is greater than 1/2? A sequence of throws T0,
T1,..... is said to have two consecutive sixes if for some natural number
i, both Ti and Ti+1 are sixes. For example, 1;6;6 and 1;2;6;6 both have
two consecutive sixes.

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