Compute and compare theoretical and experimental probability in simple settings.
Find an expected number of successes
Problem
A fair number cube is rolled \(30~\text{times}\). Since the probability of rolling a \(6\) is \(1~\text{out}~\text{of}~6\), how many \(6\mathrm{s}\) would you expect to get?
Big Picture
What this problem is really about
An expected count scales a one-roll probability up to many rolls. Multiply the number of trials by the probability of the target face, or view the trials as equal groups matching the denominator. The result describes a long-run average, so it is an anticipated count rather than a promise about this exact experiment.
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