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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?

PROBLABILITYI added the picture needed1Create a sample space and find the product of each combination What is the probability that a person wins the game Expres class=

Respuesta :

Parrain

Based on the rules of the game, the probability that a person wins the game is 3/8 or 37.5%.

If participants can only win 25% of the time, the number that they need to get would be 32 or higher.

The probability of a winning score of 36 or higher in four consecutive attempts is 1/1,296.

To show that the game is fair, the teacher can post that every number apart from 24 and 30 has an equal chance of appearing.

What is a good sample space to represent the data?

There are 6 sides to dice and 4 cards. The sample space is:

Dice                            Card                 Product         Frequency of Product

1                                5                         5                          1

1                                 6                         6                         1

1                                 7                         7                          1

1                                 8                         8                         1

2                                 5                         10                         1

2                                 6                         12                         1

2                                 7                         14                         1

2                                 8                         16                         1

3                                 5                         15                         1

3                                 6                         18                         1

3                                 7                         21                         1

3                                 8                         24                         2

4                                 5                         20                         1

4                                 6                         24                         1

4                                 7                         28                         1

4                                 8                         32                         1

5                                 5                         25                         1

5                                 6                         30                         2

5                                 7                         35                         1

5                                       8                         40                         1

6                                 5                         30                        

6                                 6                         36                         1

6                                      7                         42                         1

6                                      8                         48                         1

Total                                                                                       24

24 and 30 have frequencies of 2 as they appear twice.

From the table, in order to win, a player needs to get 28 or higher.

There are only 8 numbers that are 28 or higher but including the chance that 30 has a relative frequency of 2, we have 9 chances to win the game. The probability is:

= 9 / 24

= 3 / 8

How can a player win 25% of the time?

If people are to win only 25% of the time, this means that the number of products that can be picked is:

= 25% x 24

= 6

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

A person therefore needs to get 32 or above to win 25% of the time.

What is the probability of winning the large price?

The probability of getting 36 or higher is:

= Chance of 36 + chance of 40 + chance of 42 + chance of 48

= 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

Find out more on frequency tables at https://brainly.com/question/27820465.

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