Department

Applied Math and StatisticsCourse Code

AMS 5Professor

Yonatan KatznelsonChapter

13This

**preview**shows half of the first page. to view the full**3 pages of the document.**AMS 5 Practice 11

4/30/2017

(8:00-9:05)

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.

[1][1][8][1][1][8]

5) Yes, since knowing the color/number won’t allow you to know the number/color.

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