question archive 1) A bag contains 19 balls numbered 1 through 19

1) A bag contains 19 balls numbered 1 through 19

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1) A bag contains 19 balls numbered 1 through 19. 

What is the probability of selecting a ball that has an even? number?

 

 

2/19

 

 

9/19

 

 

19/9

 

 

9

5 points   

QUESTION 2

1. There are 3 balls in a? hat; one with the number 3 on it, one with the number 4 on it, and one with the number 7 on it.

You pick a ball from the hat at random and then you flip a coin. Using a tree diagram? , obtain the sample space for the experiment. List the elements that make up the sample space.

 

 

3 H T, 4 H T 7H T

 

 

3 4 7 H, 3 4 7 T

 

 

3 H, 3 T, 4 H, 4 T, 7 H, 7 T

 

 

3 H, 4 H, 7 H

5 points   

QUESTION 3

1.

What is the probability of drawing a club or a red card from a deck of 52 cards

 

 

.75

 

 

.25

 

 

.50

 

 

None of the above

5 points   

QUESTION 4

1. One person is selected at random from a class of 16 males and 15 females.  Find the odds against selecting:

a female

 

 

15:16

 

 

16:15

 

 

15:31

 

 

16:31

5 points   

QUESTION 5

1.

 

 

6

 

 

1/6

 

 

3

 

 

1/3

5 points   

QUESTION 6

1. A class consists of 24 women and 67 men. If a student is randomly? selected, what is the probability that the student is a ?woman?

 

 

 

1/91

 

 

67/91

 

 

24/67

 

 

24/91

 

5 points   

QUESTION 7

1.

A couple plans to have three children.

Find the probability that the couple has a) no boys b) at least one girl, c) either exactly 2 girls or 2 boys. 

 

 

 

a) 1/8  b) 1/8 c) 1/8

 

 

a) 1/8 b) 7/8 c) 3/4

 

 

a) 1/8  b) 1/2 c ) 3/4

 

 

None of the above

5 points   

QUESTION 8

1.

Evaluate the expression:   8!

 

 

40,320

 

 

8

 

 

56

 

 

None of the above

5 points   

QUESTION 9

1.

On the lottery, where one number is chosen, determine the probability that you would win if you have a choice of 46 numbers to choose from

 

 

45/46

 

 

1/46

 

 

1/2

 

 

None of the above

5 points   

QUESTION 10

1.

Evaluate 8P3.

 

 

336

 

 

15

 

 

56

 

 

None of the above

5 points   

QUESTION 11

1.

A card is picked from a deck of cards. 

Find the odds against and the odds in favor of selecting a heart.

 

 

3:1 , 1:3

 

 

4:1 , 1:4

 

 

1:3 , 3:1

 

 

None of the above

5 points   

QUESTION 12

1. In a sample of 50,000 first-born babies, 5 were found to have Prader-Willi syndrome.

Find the emperical probability that the family's first child will be born with the syndrome .

 

 

1/10000

 

 

5/50000

 

 

.0001

 

 

All of the above

5 points   

QUESTION 13

1.

A traffic light is red for 25 seconds, yellow for 5 seconds, and green for 55 seconds. 

What is the probability that when you reach the light - the light is yellow?

 

 

5/85 + 80/85

 

 

5/85 or 1/17

 

 

80/85 or 16/17

 

 

None of the above

5 points   

QUESTION 14

1.

 Jim finds an irregularly shaped five-sided rock.  He labels each side and tossed the rock 100 times. The results are in the following table.

Side            1     2    3     4      5  

Frequency   32    18  15  13     22

Find the emperical probability that the rock will land on side 4 if tossed again.

 

 

13/100

 

 

4/13

 

 

4/100

 

 

None of the above

5 points   

QUESTION 15

1. A number labeled with numbers 1, 2, 3, 4, 5, and 6 is tossed.  What are the odds in favor of the cube showing a number less than 3?

 

 

1:2

 

 

1:3

 

 

1:1

 

 

2:1

5 points   

QUESTION 16

1.

 

 

3/4

 

 

4/5

 

 

5/4

 

 

1/4

5 points   

QUESTION 17

1.

Evaluate 10C3.

 

 

360

 

 

120

 

 

720

 

 

none of the above

5 points   

QUESTION 18

1. A contractor is considering a sale that promises a profit of $40,000 with a probability of 0.7 or a loss of $5,000 with a probability of 0.3.  What is the expected profit?

 

 

$31,500

 

 

$28,000

 

 

$26,500

 

 

$35,000

5 points   

QUESTION 19

1.

In July in Seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. In Seattle, in July, 75% of the days are sunny and 25% of the days are cloudy.

a) Find the expected value of grass growth for the day  b) Find the expected value of grass growth for the month of July ( 31 days ) -- round both to 2 decimal placees

 

 

a) .50 in  b)  15.5 in

 

 

a) .75  in  b) 23.23 in

 

 

a) .44 in  b) 13.64 in

 

 

None of the above

5 points   

QUESTION 20

1. One digit from the number 5, 494, 224 is written on each of seven cards. What is the probability of drawing a card that shows 5 or 2?

 

 

5/7

 

 

4/7

 

 

3/7

 

 

2/7

5 points   

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