Using View #1 [ game cannot end in a tie ],
find the house edge when a craps player bets the don't pass line.
| Let B | = | the amount bet on the don't pass line | |
| Let p | = | P( win ) = 949 / 1925 | |
| Let E | = | expectation = Bp + ( - B ) * ( 1 - p ) = 2Bp - B | |
| = | B * ( 2p - 1 ) | ||
| H | = | | E / B | = | 2p - 1 | = | ( 1898 / 1925) - 1 | | |
| = | | - 27 / 1925 | ≈ 1.403% | ||