Exercise · ZW-SAMPLE-SPACE-009 · ★★★ Advanced

From an urn with three distinct balls (R, B, G) one is drawn, its color recorded and returned; then another is drawn and recorded. How many ordered outcomes does the sample space have?

Choose one option.

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Explanation

With replacement each draw has 3 options: \(3\cdot 3=9\). Without replacement it would be \(3\cdot 2=6\).

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

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