**Toolbox:**

- The possible outcum of throwof dice are\({1\;,2\;,3\;,4\;,5\;,6\;}\) each having the probability\(\Large\frac{1}{6}\)
- He pays a stake of Re1
- He define X to be the part of profit he get for each event of the game
- Expected profit=\(\Large\sum_{i=1}^{6} x_ip_i\)

\(E(x)=\Large1\times\;\frac{1}{6}\;+-1\times\;\frac{1}{6}\;+4\times\;\frac{1}{6}\;+-1\times\;\frac{1}{6}\;+-1\times\;\frac{1}{6}\;+1\times\;\frac{1}{6}\)

=\(\Large\frac{3}{6}\)

=\(0.05\)