Each time an offer is rejected, the contestant must play another round, eliminating progressively fewer cases: five in the second round, four in the third, three in the fourth, two in the fifth. Beyond the fifth round, the contestant eliminates one case at a time, receiving a new offer from the Banker after each. The ninth and final offer comes when there are only two cases left in play: the one originally chosen by the contestant and one other. If the contestant rejects this final offer, he/she may either keep the chosen case or trade it for the other. The contestant receives the amount in the case taken.