A contestant\textquotesingle s final winnings on a game show are determined by a random selection of a base amount and a possible multiplier. For the base amount, the contestant randomly selects one of four cards, where two cards are marked $\textbackslash$1,000$, one card is marked $\textbackslash$2,000$, and one card is marked $\textbackslash$5,000$. After choosing the card, the contestant randomly selects one of five chips, where three chips are red and two chips are white. If the selected chip is red, the contestant\textquotesingle s final winnings are twice the value of the base amount. If the selected chip is white, the contestant\textquotesingle s final winnings are the value of the base amount. What is the probability that a contestant\textquotesingle s final winnings are exactly $\textbackslash$2,000$? 
选项为:A:$$0.100$$  B:$$0.200$$  C:$$0.250$$  D:$$0.325$$  E:$$0.400$$  请回答其中一个选项.