Chapter 5: Q 2.2. (page 317)
Shuffle a standard deck of cards, and turn over the top two cards, one at a time. Define events : first card is a heart, and : second card is a heart.
No, events are independent.
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Scrabble In the game of Scrabble, each player begins by drawing 7 tiles from a bag containing 100 files. There are 42 vowels, 56 consonants, and 2 blank tiles in the bag. Chait chooses her 7 tiles and is surprised to discover that all of them are vowels. We can use a simulation to see if this result is likely to happen
by chance.
(a) State the question of interest using the language of probability.
(b) How would you use random digits to imitate one repetition of the process? What variable would you measure?
(c) Use the line of random digits below to perform one repetition. Copy these digits onto your paper. Mark directly on or above them to show how you
determined the outcomes of the change process. 00694 05977 19664 65441 20903 62371 22725 53340
(d) In 1000 repetitions of the simulation, there were 2 times when all 7 tiles were vowels. What conclusion would you draw?
In a table of random digits such as Table D, each digit is equally likely to be any of or What is the probability that a digit in the
table is or greater? (a) (c) (e) (b) (d)
Explain why events A and B are mutually exclusive
Shuffle a standard deck of cards, and turn over the top card. Put it back in the deck, shuffle again, and turn over the top card. Define events : first card is a heart, and : second card is a heart.
Simulation blunders Explain what’s wrong with each of the following simulation designs.
(a) A roulette wheel has colored slots— red, black, and green. To simulate one spin of the wheel, let numbers to represent red, to
represent black, and to represent green.
(b) About of U.S. adults are left-handed. To simulate randomly selecting one adult at a time until you find a left-hander, use two digits. Let to represent being left-handed and to represent being right-handed. Move across a row in Table D, two digits at a time, skipping any numbers that have already appeared, until you find a number between and 10. Record the number of people selected.
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