12. A friend of yours claims to have the psychic gift. You are skeptical of her claim. To test her gift, the following four cards are taken from a normal deck of cards: (A,A,A,A). You randomly choose one of the cards from the deck and ask your friend (without seeing the card) to tell you what it is, then the card is replaced back and repeat the experiment three times. If your friend is really not a psychic (and is merely guessing at the cards), what is the probability that she guesses at most 1 card correctly? (a) 1/64 (b) 10/64 (c) 27/64 (d) 54/64

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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12. A friend of yours claims to have the psychic gift. You are skeptical of her claim., To test her
gift, the following four cards are taken from a normal deck of cards: (A,A,A,A). You
randomly choose one of the cards from the deck and ask your friend (without seeing the card)
to tell you what it is, then the card is replaced back and repeat the experiment three times. If
your friend is really not a psychic (and is merely guessing at the cards), what is the
that she guesses at most 1 card correctly?
probability
(a) 1/64
(b) 10/64
(c) 27/64
(d) 54/64
Transcribed Image Text:12. A friend of yours claims to have the psychic gift. You are skeptical of her claim., To test her gift, the following four cards are taken from a normal deck of cards: (A,A,A,A). You randomly choose one of the cards from the deck and ask your friend (without seeing the card) to tell you what it is, then the card is replaced back and repeat the experiment three times. If your friend is really not a psychic (and is merely guessing at the cards), what is the that she guesses at most 1 card correctly? probability (a) 1/64 (b) 10/64 (c) 27/64 (d) 54/64
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