Same name drawn from the 16 names in a hat on 3 consecutive occasions (with replacement)

Question

There are 16 ping pong balls in a container, each with a different persons name (16 people). What are the odds that the same person's name gets drawn on 3 consecutive occasions.

Answer 1

If the chance that a person's name gets pulled out is 1/16, and there is replacement for each trial, then the odds that the same person's name gets drawn on 3 consecutive occasions is (1/16)^3 = 1/4096.

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