Probability

Probability

Secondary 4

A fair coin is tossed repeatedly. Tossing stops when the first head appears or when three tosses have been made, whichever happens first.

  1. Draw a tree and list all possible terminal sequences.

  2. Find the probability of each terminal sequence.

  3. Find the probability that exactly three tosses are needed.

  4. Find the probability that a head appears before the experiment stops.

  5. Explain why counting favourable terminal sequences over total terminal sequences can give an incorrect answer.

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Answer:(a–b) \(H:\frac12, TH:\frac14, TTH:\frac18, TTT:\frac18\); (c) \(\frac14\); (d) \(\frac78\); (e) Terminal sequences are not equally likely

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