Probability

Probability

IP 4

Two fair coins are tossed.
A student writes:

“The possibilities are two heads, one head, or no heads. Therefore, the probability of at least one head is \(\frac23\).”

  1. Write the equally likely sample space.

  2. Find the correct probability of at least one head.

  3. Explain the student’s mistake.

Solution:

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Answer:(a)\(\{HH,HT,TH,TT\};\) (b) \(\frac34;\) (c) The three head-count categories are not equally likely.

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