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ICE Princess25 [194]
1 year ago
14

PROBLABILITY!!!

Mathematics
1 answer:
BigorU [14]1 year ago
8 0

Based on the game rules of randomly picking a card and multiplying it by the roll from a number cube, the following are true:

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

<h3>How can the data be represented?</h3>

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

<u />

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

<u>48                                      1</u>

<u>Total                                24</u>

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%

<h3>What product does a player need to win 25% of the time?</h3>

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.

<h3 /><h3>How can the larger prize be won?</h3>

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 brainly.com/question/2002190.

#SPJ1

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