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Probability

Probability

IP 4

A fair coin is tossed until the first head appears or until three tosses have been made, whichever happens first.

  1. List all terminal sequences and their probabilities.

  2. Find the probability that exactly two tosses are made.

  3. Find the probability that a head appears before the game ends.

Solution:

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Answer:(a) \(P(H)=\frac12,\ P(TH)=\frac14,\ P(TTH)=\frac18,\ P(TTT)=\frac18\). (b) \(\frac14\). (c) \(\frac78\).

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