A friend of yours claims to have the psychic gift. You are skeptical of her claim. To test her gift, you take the ace of hearts, ace of spades, ace of diamonds, and ace of clubs from a deck of cards. You randomly choose one of the four cards removed from the deck and ask your friend (without seeing the card) to tell you what it is. You replace the card and repeat the experiment four times.
If your friend is really not a psychic (and is merely guessing at the cards), what is the probability that she guesses all four cards correctly? Round your answer to four decimal places.