Math 227 - Statistics » Spring 2023 » 07KC Counting

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Question #1
How many 4-digit bankcard pin numbers are possible?
A.   10,000
B.   5,000
C.   15,000
D.   20,000
Question #2
A landscaper must plant one flower, one grass, and one tree at each job site. She has 6 different kinds of flowers, 4 different kinds of grasses, and 9 different kinds of trees from which to choose. Find the probability that the job site owner correctly guesses the correct plants on the finished job site. (Express your answer as a decimal rounded to the nearest ten-thousandth.)
A.   0.0046
B.   0.0068
C.   0.0042
D.   0.0028
Question #3
How many different ways are there to rank 7 horses in a horse race?
A.   4,008
B.   5,040
C.   6,024
D.   5,490
Question #4
If your friend John is traveling to 9 countries in Europe on vacation, what is the denominator of the reduced fraction representing the probability that you will correctly guess his travel itinerary?
A.   342,228
B.   418,268
C.   331,606
D.   362,880
Question #5
How many different trifectas are possible in a horse race with 12 horses running?
A.   1,480
B.   1,290
C.   1,884
D.   1,320
Question #6
Calculate the probability of winning the exacta in a horse race with 6 horses running? (Express your answer as a decimal rounded to the nearest ten-thousandth.)
A.   0.0222
B.   0.0666
C.   0.0333
D.   0.0999
Question #7
How many ordered color combinations are possible if you have 5 red buttons, 2 blue buttons, 6 green buttons, and 3 white buttons?
A.   24,260,240
B.   20,180,160
C.   29,120,120
D.   19,180,170
Question #8
How many different ways are there to arrange the letters in MATHEMATICS?
A.   4,666,900
B.   4,989,600
C.   6,449,200
D.   3,999,800
Question #9
From a box of 28 different books, how many different groups of 7 books may be donated to charity?
A.   1,840,760
B.   1,220,080
C.   1,184,040
D.   1,960,200
Question #10
What is the denominator of the reduced fraction representing the probability of winning Fantasy Five (a lottery game where the winner correctly chooses five numbered balls (without regard to order) from a group of 39 numbered balls)?
A.   625,713
B.   575,757
C.   523,515
D.   422,846
Question #11
There are 8 women and 5 men in the math department. What is the probability of choosing a committee of 4 consisting of 3 women and 1 man? (Express your answer as a decimal rounded to the nearest ten-thousandth.)
A.   0.3133
B.   0.4712
C.   0.2182
D.   0.3916
Question #12
What is the denominator of the reduced fraction representing the probability of being dealt a royal flush in five-card, no-draw poker?
A.   703,262
B.   649,740
C.   602,620
D.   589,240

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