amonds, and 13 clubs) and draw one card at random. We’ll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we’ll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her to guess for the shit of this second card. We’ll repeat this process until we’ve drawn a total of 15 cards an
amonds, and 13 clubs) and draw one card at random. We’ll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we’ll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her to guess for the shit of this second card. We’ll repeat this process until we’ve drawn a total of 15 cards an
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 5ECP: How many permutations of the letters W, X, Y, and Z are possible?
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Suppose that we’ve decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While takin to her on the phone, we’ll thoroughly shuffle a standard deck of 52 cards (13 hearts, 13 spades, 13 diamonds, and 13 clubs) and draw one card at random. We’ll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we’ll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her to guess for the shit of this second card. We’ll repeat this process until we’ve drawn a total of 15 cards and gotten her suit guesses for each.
A) estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution.
B) quantify the uncertainty of you estimate by giving the standard deviation of the distribution.
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