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Dominique rolls a typical 6-sided number cube. List the outcomes for him rolling an odd number divisible by 3.

(1 point)
Responses

{1, 3, 5}
{1, 3, 5}

{2, 4, 6}
{2, 4, 6}

{6}
{6}

{3}
{3}
B)
2.

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In bowling, there are 10 pins that stand in a triangular shape. The idea is to knock down all of the pins. A frame consists of two rolls (if you don't knock down all 10 pins in the first roll). On your first roll, you knock down pins 1, 3, 4, and 5; in the second roll, you knock down pins 8 and 9. Which of the following is a subset that is a complement to the event?

(1 point)
Responses

{1, 3, 4, 5, 8, 9}
{1, 3, 4, 5, 8, 9}

{1, 3, 4, 5, 9}
{1, 3, 4, 5, 9}

{3, 4, 5, 8}
{3, 4, 5, 8}

{2, 6, 7, 10}
{2, 6, 7, 10}
C)
3.

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What is the probability of drawing a red four from a standard deck of playing cards?

(1 point)
Responses

126
1 over 26

152
1 over 52

552
5 over 52

113
1 over 13
D)
4.

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Consider a spinner with numbers 1 - 4 and a dice with numbers 1 - 6. Let event A
represent landing on a number greater than 2 on the spinner and let event B
represent rolling a number greater than 3 on the number cube. Find P(A∩B)
.

(1 point)
Responses

13
1 third

14
1 fourth

12
1 half

112
1 over 12
E)
5.

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Consider a bag has 10 marbles: 4 black, 2 white, and 4 striped marbles. What is the probability of selecting a black marble without replacing it and then selecting a striped marble?

(1 point)
Responses

12
1 half

845
8 over 45

15
1 fifth

310
3 tenths
F)
6.

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Consider a bag has 11 marbles: 2 purple, 2 blue, 2 green, and 5 red marbles. What is the probability of selecting a purple marble without replacing it and then selecting a red marble?

(1 point)
Responses

211×510
2 over 11 times 5 tenths

211
2 over 11

510
5 tenths

211×511
2 over 11 times 5 over 11
G)
7.

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There are 25 runners competing in the 100 meter dash. The top 3 runners will be awarded the following medals: 1st - gold; 2nd - silver; and 3rd - bronze. How many ways can the medals be awarded?

(1 point)
Responses

15,625
15,625

72
72

13,800
13,800

75
75
H)
8.

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How many different ways are there to choose 3 video games from a shelf of 20 video games if the order in which they are selected doesn't matter?

(1 point)
Responses

1,140
1,140

6
6

6,840
6,840

60
60
I)
9.

Video Player

How many different ways are there to choose 3 video games from a shelf of 20 video games if the order in which they are selected does matter?

(1 point)
Responses

1,140
1,140

6
6

6,840
6,840

60
60
J)
10.

Video Player

What is the probability of picking a point in the shaded area? Round your answer to the nearest hundredth.

(1 point)
Responses

.63
.63

.37
.37

.55

1 answer

Here are the answers to your questions based on the provided information:

Question A:

Dominique rolls a typical 6-sided number cube. List the outcomes for him rolling an odd number divisible by 3.

  • Correct Answer: {3}

Question B:

Which of the following is a subset that is a complement to the event of knocking down pins 1, 3, 4, 5, 8, and 9?

  • Correct Answer: {2, 6, 7, 10}

Question C:

What is the probability of drawing a red four from a standard deck of playing cards?

  • Correct Answer: \( \frac{1}{26} \)

Question D:

Find \( P(A ∩ B) \) where event A is landing on a number greater than 2 on the spinner and event B is rolling a number greater than 3 on the number cube.

  • Correct Answer: \( \frac{1}{12} \)

Question E:

What is the probability of selecting a black marble without replacing it and then selecting a striped marble?

  • Correct Answer: \( \frac{8}{45} \)

Question F:

What is the probability of selecting a purple marble without replacing it and then selecting a red marble?

  • Correct Answer: \( \frac{2}{11} \times \frac{5}{10} \)

Question G:

How many ways can the medals be awarded to the top 3 runners in the 100 meter dash?

  • Correct Answer: \( 13,800 \)

Question H:

How many different ways are there to choose 3 video games from a shelf of 20 video games if the order doesn’t matter?

  • Correct Answer: \( 1,140 \)

Question I:

How many different ways are there to choose 3 video games from a shelf of 20 video games if the order does matter?

  • Correct Answer: \( 6,840 \)

Question J:

What is the probability of picking a point in the shaded area, rounded to the nearest hundredth?

  • Correct Answer: The choices provided do not specify the context of the shaded area, but if unsure, it's better to choose the option that seems most probable based on visual assessment or calculation from prior information. If estimates are needed, you can select any option, but without specifics, the question cannot be accurately answered.

If you need further clarification or more help with any specific question, feel free to ask!