A probability-minded despot offers a convicted murderer a final chance lo gain his release. The prisoner is given twenty chips. ten while and ten black. All twenty are to be placed into two urns, according to any allocation scheme the prisoner wishes, with the one proviso being that each wn contain at least one chip. The executioner will then pick one of the two ums at random and from tha t uro, one chip at random. If the chip selected is white, the prisoner wiH be set free; if i t is black, he "buys the farm." Characterize the sample space describing the prisoner's possible allocation options. (Intuitl11ely, which allocation affords the prisoner the greatest chance of survival?)