(I added the picture needed)

1.Create a sample space and find the product of each combination. What is the probability that a person wins the game? Express your answer as a fraction in lowest terms and as a percent rounded to the nearest tenth.
(answer to this one is 9/28 and 32.1%)

2. You realize a short time into the carnival that you don’t have enough prizes to last the entire event. You call your teacher, and she suggests that you change the winning number so that a participant will win only 25% of the time. What number will that be? Support your answer.

3. Participants achieving a winning score of 36 or higher in four consecutive attempts will receive a large prize! What is the probability of this occurring?

4. After changing the game rules, participants and the crowd are disappointed when the first five games yield scores of 12, 18, 30, 28, and 24. What statement can you recommend the teacher posts to reassure everyone that the game is fair?

The probability a person wins a game is 3/8 or 37.5%.
For a participant to win 25% of the time, they needs to get 32 or higher.
The probability of a score of 36 or higher in 4 consecutive attempts is 1/1,1296.
Teacher should tell people that just as the lower numbers could be picked, the products that are 32 or higher can be picked as well.

What sample space represents the data?

If the die is rolled, it will land on a number between 1 and 6 while there are only four cards that can be picked.

The sample space is:

Dice Card Product

1 5 5

1 6 6

1 7 7

1 8 8

2 5 10

2 6 12

2 7 14

2 8 16

3 5 15

3 6 18

3 7 21

3 8 24

4 5 20

4 6 24

4 7 28

4 8 32

5 5 25

5 6 30

5 7 35

5 8 40

6 5 30

6 6 36

6 7 42

6 8 48

Based on the products, we can come up with the following frequency table:

Frequency table

Product Frequency

5 1

6 1

7 1

8 1

10 1

12 1

14 1

16 1

15 1

18 1

21 1

24 2

20 1

28 1

30 2

32 1

25 1

35 1

40 1

36 1

42 1

48 1

Total 24

The frequency table shows that to get 28 or more, a person will have a relative frequency of:

= 1 + 2 + 1 + 1 + 1 + 1 + 1 + 1

= 9

Probability is:

= 9 / 24

= 3/8

= 37.5%

How can a person win only 25% of the time?

The number of products required to win 25% of the time is:

= 25% x 24

= 6

To find the winning number, count down from the highest product 6 times to get 32.

What is the probability that a player wins a large prize?

The probability of getting 36 or higher is:

= ∑(Probabability of picking 36 and above numbers)

= 1 / 24 + 1/24 + 1/24 + 1/24

= 1 / 6

The probability of repeating this 4 consecutive times is:

= 1 / 6 x 1 / 6 x 1/ 6 x 1 / 6

= 1 / 1,296

= 0.0007716

Find out more on probability at https://brainly.com/question/23461431.

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