The expected value can be calculated by multiplying the probability of each event times the value of that event.

2Five cent coin: \(\displaystyle\frac{{1}}{{6}}{x}{0.05}={0.00833333333}\)

Ten cent coin: \(\displaystyle\frac{{1}}{{6}}{x}{0.10}={0.016666666}\)

Twenty five cent coin: \(\displaystyle\frac{{1}}{{3}}{x}{0.25}={0.0833333333}\)

Fifty cent coin: \(\displaystyle\frac{{1}}{{3}}{x}{0.50}={0.166666667}\)

\(30.00833333333 + 0.0166666667 + 0.0833333333 + 0.166666667\)