Show that in craps the house edge for a pass line bet is about 1.41%
| Let B | = | the amount bet ( in dollars ) on the pass line | |
| Let p | = | P( win ) = 244 / 495 [ shown in an earlier section ] | |
| Let E | = | expectation = B * p + ( - B ) * ( 1 - p ) = Bp - B + Bp | |
| = | 2Bp - B = B * ( -1 + 2p ) → E / B = -1 + 2p | ||
| H | = | | E / B | = | -1 + 2p | = | -1 + ( 488 / 495) | | |
| = | | - 7 / 495 | = 1.41414.... % | ||
| » | 1.41 % | ||