Question: In a game with two dice, the event snake eyes refers to both six-sided dice showing one spot. Let R denote the number of dice
In a game with two dice, the event snake eyes refers to both six-sided dice showing one spot. Let R denote the number of dice rolls needed to observe the third occurrence of snake eyes. Find
(a) The upper bound to P[R ≥ 250] based on the Markov inequality,
(b) The upper bound to P[R ≥ 250] based on the Chebyshev inequality,
(c) The exact value of P[R ≥ 250].
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