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Pages:
2 pages/≈550 words
Sources:
3 Sources
Style:
APA
Subject:
Mathematics & Economics
Type:
Math Problem
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 8.64
Topic:

Probability Report Worksheet

Math Problem Instructions:

Probability Report Worksheet
Directions: Complete the probability report worksheet to help you with your calculations to create the APA report.
1. Choose one of the three scenarios:
a. Probability of obtaining heads on a coin toss
b. Probability of rolling a 2 on a 6-sided die.
c. Probability of drawing a Jack from a deck of cards.
2. Calculate the theoretical probability for your chosen scenario. Show all work! Remember probability is the number of ways you can achieve the desired outcomes divided by the total number of outcomes. Then calculate the theoretical probability of your chosen scenario NOT happening. Ex: What is the probability of “Not Heads”? What is the probability of “Not rolling a 2”, etc.
3. Complete 100 trials for your chosen scenario. Example: Flip a coin 100 times and record the outcome, roll a die 100 times and record the outcome, choose a card from a deck (with replacement) 100 times.
4. Create a table in Microsoft Word here and record your data.

5. Using the table you created in number 4, what is the experimental probability for your chosen scenario?
6. Using the table you created in number 4, what is the experimental probability for NOT achieving your chosen scenario? Example: What is the probability of “Not Heads”? What is the probability of “Not rolling a 2”, and so on.
7. Does your theoretical probability match your experimental probability?
8. Complete research on WHY your probabilities might not match or why they might match. *Be sure to cite your source*
9. Using the concepts learned this week, what do you think would happen if you did 1,000 trials? *Be sure to cite your reading or lecture*

Math Problem Sample Content Preview:

Probability Report Worksheet
1 Choose one of the three scenarios:
1 Probability of obtaining heads on a coin toss
2 Probability of rolling a 2 on a 6-sided die.
3 Probability of drawing a Jack from a deck of cards.
Answer: The scenario that I have chosen is Probability of obtaining heads on a coin tossed
2 Calculate the theoretical probability for your chosen scenario. Show all work! Remember probability is the number of ways you can achieve the desired outcomes divided by the total number of outcomes. Then calculate the theoretical probability of your chosen scenario NOT happening. Ex: What is the probability of “Not Heads”? What is the probability of “Not rolling a 2”, etc.
Answer: The theoretical probability means how likely an event is to occur. In this scenario, the probability of obtaining heads on a coin tossed is a 50% on a single toss as there are only two options, (head or tail). Therefore, the probability of not obtaining heads is the same 50%. The number of favorable outcomes is 1 (head) and the total number of possible outcomes is 2 (head or tail which is the two available options) as outlined in the formula below
Probability = favourable outcomes
Total number of possible outcomes
= P(head) = ½
3 Complete 100 trials for your chosen scenario. Example: Flip a coin 100 times and record the outcome, roll a die 100 times and record the outcome, choose a card from a deck (with replacement) 100 times.
Answer: I have flipped the coin 100 times. It either landed head or tail, which is the only two options available. This experiment will not determine what the outcome will be.
4 Create a table in Microsoft Word here and record your data.
Answer: No of Trials Heads or Tails
1 H
2 H
3 T
4 T
5 H
6 T
7 H
8 T
9 H
10 T
11 H
12 T
13 H
14 T
15 H
16 T
17 T
18 T
19 H
20 T
21 H
22 T
23 H
24 H
25 H
26 T
27 T
28 H
29 T
30 T
31 H
32 H
33 T
34 T
35 H
36 H
37 T
38 H
39 T
40 H
41 T
42 T
43 H
44 T
45 H
46 T
47 H
48 T
49 H
50 T
21 H
53 H
53 H
54 T
55 T
56 T
57 H
58 H
59 T
60 T
61 H
62 T
63 H
64 T
65 T
66 H
67 H
68 H
69 T
70 H
71 T
72 T
73 T
74 H
75 T
76 H
77 T
78 H
79 T
80 T
81 H
82 T
83 T
84 T
85 H
86 T
87 H
88 T
89 T
90 H
91 T
92 T
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