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Suppose you decided to keep flipping a coin until tails came up, at which point you would stop. What is the probability of tails coming up on the 6th flip of the coin? Round your answer to the nearest tenth of a percent.

A. 12.5%
B. 3.1%
C. 1.6%
D. 6.3%
Please do not waste my time and answer this if you don't know how to do this, also explaining it would be nice since its 25 points and proves to me that you know how to do this hopefully

1 Answer

6 votes

Let's talk about what we do know, before we answer the question.

  • 5 heads will be flipped -
  • followed by a tail on the 6th flip

Probability = (1/2)^5 x (1/2) = 1/64 or 1.5625%, which rounds to -

1.6% [C] <----------

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