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Concept explainers
A magician divides a deck of cards into two equal piles, counts down from the top of the first pile to the seventh card, and shows it to the audience without looking at it herself. These seven cards are replaced face down in the same order on top of the first pile. She then picks up the other pile and deals the top three cards up in a row in front of her. If the first card is a six, then she starts counting with “six” and counts to ten, thus placing four more cards on this pile as shown. In turn, the magician does the same for the next two cards. If the card is a ten or a face card, then no additional cards are added. The remainder of this pile is placed on top of the first pile.
Next, the magician adds the values of the three face-ups cards (6+10+7 for this illustration) and counts down in the first deck this number of cards. That card is the card that was originally shown to the audience. Explain why this trick works.
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Chapter 1 Solutions
Bundle: Nature Of Mathematics, Loose-leaf Version, 13th + Webassign Printed Access Card For Smith's Nature Of Mathematics, 13th Edition, Single-term
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- 2. An experiment is set up to test the effectiveness of a new drug for balancing people's mood. The table below contains the results of the patients before and after taking the drug. The possible scores are the integers from 0 to 10, where 0 indicates a depressed mood and 10 indicates and elated mood. Patient Before After 1 4 4 2 3 3 3 6 4 4 1 2 5 6 5 6 1 3 7 4 7 8 6 9 1 4 10 5 4 Assuming the differences of the observations to be symmetric, but not normally distributed, investigate the effectiveness of the drug at the 5% significance level. [4 Marks]arrow_forward1. The number of claims is modelled by a NB2(n, p) (the number of fail- ures before the nth success with probability p of success). The sample x = (x1, x2,,XN) with N = 100 returns N N xj = 754, Σε = 70425. j=1 Estimate the parameters n and p using the point estimates. [5 Marks]arrow_forward93 Y y = f(x) 00 Xarrow_forward
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