AIR MATH

Math Question

A club is holding a raffle. Ten thousand tickets have been sold for \( \$ 2 \) each. There will be a \( 1^{\text {st }} \) prize of \( \$ 3000,3 \) second prizes of \( \$ 1000 \) each, 5 third prizes of \( \$ 500 \) each and 20 consolation prizes of \( \$ 100 \) each. Find the expected winnings of a single ticket. \begin{tabular}{|l|l|l|l|l|l|} \hline \( \mathrm{X} \) & \( -2 \) & 98 & 498 & 998 & 2998 \\ \hline \( \mathrm{P} \) & \( .9971 \) & \( .0020 \) & \( .0005 \) & \( .0003 \) & \( .0001 \) \\ \hline \end{tabular}

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