Charles is watching an old game show rerun on television called Lets Make a Deal in which the contestant chooses a prize behind one of two curtains. Behind one of the curtains is a gag prize worth $230, and behind the other is a round-the-world trip worth $6,400. The producer of the game show has placed a subliminal message on the curtain containing the gag prize, which makes the probability of choosing the gag prize equal to 75 percent.