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Chapter 13

AMS 5 Chapter Notes - Chapter 13: 5,6,7,8

Applied Math and Statistics
Course Code
Yonatan Katznelson

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AMS 5 Practice 11
Chapter 13, #1, 3, 5, 6, 7, 8, 9
When a die is rolled, each of the six faces is equally likely to come up. A deck of cards has 4 suits
(clubs, diamonds, hearts, spades) with 13 cards in each suit—2, 3, …, 10, jack, queen, king, ace.
See pp. 222 and 226
1. True or false, and explain:
(a) If something has probability 1,000%, it is sure to happen.
(b) If something has probability 90%, it can be expected to happen about nine
times as often as its opposite.
1a) True?; Beyond a doubt. But 1000% is also statistically impossible, since %s only go from
0 to 100.
1b) True; 9*10% = 90%.
3. Four cards will be dealt off the top of a well-shuffled deck. There are two options:
(i) To win $1 if the first card is a club and the second is a diamond and the
third is a heart and the fourth is a spade.
(ii) To win $1 if the four cards are of four different suits.
Which option is better? Or are they the same? Explain.
3) ii, since in the second option they can come in any order, so option ii has four times the
chance of happening than option i.
5. One ticket will be drawn at random from the box below. Are color and number
independent? Explain.
5) Yes, since knowing the color/number won’t allow you to know the number/color.
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