PROBLABILITY!!!

(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?

Probability is 3/8 or 37.5%.
To win 25% of the time, player needs to get 32 or higher.
Probability of a score of 36 or higher in 4 attempts is 1/1,1296.
Teacher should remind everyone that all numbers except only 24 and 30 can appear equally.

How can the data be represented?

There are 6 sides to dice and 4 cards. 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

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%

What product does a player need to win 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.

How can the larger prize be won?

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 times is:

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

= 1 / 1,296

= 0.0007716

Find out more on frequency tables at https://brainly.com/question/2002190.

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