Exercise · ZW-SAMPLE-SPACE-003 · ★☆☆ Basic

Two distinguishable dice are rolled and the pair of numbers is recorded. How many outcomes does the sample space have?

Choose one option.

Show answer
  • B. 36

Explanation

Each die has 6 outcomes: \(6\cdot 6=36\) ordered pairs. The 21 counts unordered pairs, which are not equally basic.

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Review the concept: Sample space

A sample space \(\Omega\) is the set of all possible outcomes \(\omega\) of a random experiment.

\[\Omega=\{\omega_1,\omega_2,\omega_3,\dots\}\]

More practice problems: sample space

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