If you toss a die and it comes up with the number one 9 times in a row, what is the probability that it will come up with one on the next throw? -Riddles

If you toss a die and it comes up with the number one 9 times in a row, what is the probability that it will come up with one on the next throw? -Riddles
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1 Answer

Answer :

One in six. A die has no memory of what it last showed.
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Last Answer : (b) \(rac{11}{36}\)Let S = total ways in which two dice can be rolled ⇒ n(S) = 6 6 = 36 Let A : Event of throwing 3 with 1st dice, B : Event of throwing 3 with 2nd dice. Then, A = {(3, 1), (3, 2), (3, 3), (3, 4), ... ) - P(A ∩ B)= \(rac{6}{36}\) + \(rac{6}{36}\) - \(rac{1}{36}\) = \(rac{11}{36}\).

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