Question

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll?
• 1:
• 2:
• 3:
• 4:
• 5:
• 6:
Using the uniform probability model you developed, what is the probability of rolling an even number?
1/6 Roll a number cube 25 times. Record your results here.
1st toss
2nd toss
3rd toss
4th toss
5th toss
6th toss
7th toss
8th toss
9th toss
10th toss
11th toss
12th toss
13th toss
14th toss
15th toss
16th toss
17th toss
18th toss
19th toss
20th toss
21st toss
22nd toss
23rd toss
24th toss
25 toss
How many results of 1 did you have? ______________
How many results of 2 did you have? ______________
How many results of 3 did you have? ______________
How many results of 4 did you have? ______________
How many results of 5 did you have? ______________
How many results of 6 did you have? ______________
Based on your data, what is the experimental probability of each roll? •
1 _______ • 2 _______ • 3 _______ • 4 _______ • 5 _______ • 6 _______ Using the probability model based on observed frequencies, what is the probability of rolling an even number? Was your experimental probability different than your theoretical probability? Why or why not?

Answer 1

Hey there! I am on the same one. :) I will help you out a little. 

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll? 
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6

Using the uniform probability model you developed, what is the probability of rolling an even number? 
1/6 Roll a number cube 25 times. Record your results here. 

1st toss=6 2nd toss=4 3rd toss=6 4th toss=6 5th toss=3 6th toss=3 7th toss=4 8th toss=2 9th toss=6 10th toss=5 11th toss=1 12th toss=4 13th toss = 5 14th toss =1 15th toss=4 16th toss=2 17th toss=2 18th toss=2 19th toss=6 20th toss=5 21st toss=3 22nd toss=4 23rd toss=3 24th toss=3 25 toss=5
How many results of 1 did you have? __2____________ How many results of 2 did you have? ____4__________ How many results of 3 did you have? ____5__________ How many results of 4 did you have? ______5________ How many results of 5 did you have? ______4________  How many results of 6 did you have? ______5________
Based on your data, what is the experimental probability of each roll?  1. 2/25 or 0.08 

2. 4/25 or 0.16

3. 5/25 or 0.24

4. 5/25 or 0.2

5.4/25 or 0.16

6. 5/25 or 0.2Using the probability model based on observed frequencies, what is the probability of rolling an even number? 3/6 = ½ or 0.5
Was your experimental probability different than your theoretical probability? Why or why not? It somewhat is! The denominator is 25 for the experimental probability, and 6 for the theoretical probability.
Have a lovely day! Cheerio. :) 

Answer 2

=-+-=Answer=-+-=
1: 1/6
2: 2/5
3: 3/6
4: 4/6
5: 5/6
6: 6/6

1st Toss: 2
2nd Toss: 5
3rd Toss: 2
4th Toss: 5
5th Toss: 6
6th Toss: 4
7th Toss: 2
8th Toss: 4
9th Toss: 6
10th Toss: 6
11th Toss: 1
12th Toss: 3
13th Toss: 1
14th Toss: 2
15th Toss: 4
16th Toss: 1
17th Toss: 4
18th Toss: 3
19th Toss: 5
20th Toss: 4
21st Toss: 1
22nd Toss: 2
23rd Toss: 5
24th Toss: 3
25th Toss: 6

1: 4
2: 5
3: 3
4: 5
5: 4
6: 4

Sorry I could not answer all the questions I did not have enough time I hope you understand. =D
Good Luck! 
Have a Good Day! =D