Expecting What?

Algebra Level 3

The following process is repeated with a bag containing 5 5 white balls:

  • A ball is drawn at random.
  • If the ball drawn is white, then it is colored black and put back in.
  • If it is black, then it is put back in without change of color.

What is the expected number of times this process needs to be repeated so that the bag contains only black balls?


The answer is 11.416666.

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