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Probability

Probability

IP 4

A player succeeds on each independent attempt with probability \(\frac14\). The player makes three attempts.

  1. Find the probability of no successes.

  2. Find the probability of at least one success.

  3. Explain why \(3\times\frac14\) is not the correct answer to part (b).

Solution:

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Answer:(a) \(\frac{27}{64}\). (b) \(\frac{37}{64}\). (c) The success events overlap, so adding their probabilities counts some outcomes more than once.

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