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