An Answer Page for Exercise 21

Exercise 21

Suppose you bet the don't pass line, and a point is established on the come out roll.
Can you now remove your don't pass bet ?

 

Yes,   you can remove it,   but you should not do so.

If the point is 4 or 10, then your probability of winning is   6 / ( 6+3)   =   2 / 3.
So, the casino would be happy to see you give up your advantage by
taking back the bet you placed on the don't pass line.

If the point is 5 or 9, then the casino's probability of winning is only
1   -   6 / ( 6+4 )   =   2 / 5.   So, the casino would gladly let you take back your bet.

If the point is 6 or 8, then the casino's probability of winning is   1   -   6 / ( 6+5 )   =   5 / 11.
So, again it is to the casino's advantage to allow you to take back your don't pass bet.