Create a scenario from your own experiences that can be used to model a probability question using combinations (note: multiple categories are required). Solve your problem showing and explaining each step in the five step process outlined in the instructions.. Five Steps for a solution to a Probability Problem: Step 1: Define the Experiment (note this is a description of the activity that is causing results. Step 2: Describe the Sample Space (note: this can be done by explicitly listing elements in the sample space - which is unlikely or counting the elements providing n(S)). Are the outcomes in the Sample Space equally likely? Step 3: Describe the Event of interest. When providing this description, include the mutually exclusive and exhaustive categories you are using, and phrase th- Event in terms of those categories, integers along with the words: not/and/or Step 4: Determine the number of elements in the Event n(E) Step 5: Determine the probability of the Event (note: if the outcomes are equally likely, then we use the relative frequency formula: P(E) = n(S)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 2
Create a scenario from your own experiences that can be used to model a probability question using combinations (note: multiple categories are required).
Solve your problem showing and explaining each step in the five step process outlined in the instructions.
Five Steps for a solution to a Probability Problem:
Step 1: Define the Experiment (note this is a description of the activity that is causing results.
Step 2: Describe the Sample Space (note: this can be done by explicitly listing elements in the sample space - which is unlikely or counting the elements
providing n(S)). Are the outcomes in the Sample Space equally likely?
Step 3: Describe the Event of interest. When providing this description, include the mutually exclusive and exhaustive categories you are using, and phrase the
Event in terms of those categories, integers along with the words: not/and/or
Step 4: Determine the number of elements in the Event
n(E)
Step 5: Determine the probability of the Event (note: if the outcomes are equally likely, then we use the relative frequency formula: P(E)
n(s)
Transcribed Image Text:Question 2 Create a scenario from your own experiences that can be used to model a probability question using combinations (note: multiple categories are required). Solve your problem showing and explaining each step in the five step process outlined in the instructions. Five Steps for a solution to a Probability Problem: Step 1: Define the Experiment (note this is a description of the activity that is causing results. Step 2: Describe the Sample Space (note: this can be done by explicitly listing elements in the sample space - which is unlikely or counting the elements providing n(S)). Are the outcomes in the Sample Space equally likely? Step 3: Describe the Event of interest. When providing this description, include the mutually exclusive and exhaustive categories you are using, and phrase the Event in terms of those categories, integers along with the words: not/and/or Step 4: Determine the number of elements in the Event n(E) Step 5: Determine the probability of the Event (note: if the outcomes are equally likely, then we use the relative frequency formula: P(E) n(s)
For Example:Question: when a five card hand is randomly dealt from a standard deck of cards, what is the probability that
2 Jacks and 2 Aces result in the hand?
a. Define the Experiment (note this is a description of the activity that is causing results.
For example, randomly drawing 5 cards for a standard deck of 52 cards)
b. Describe the Sample Space (note: this can be done by explicitly listing elements in the sample space - which is unlikely or
counting the elements providing n(S)). Are the outcomes in the Sample Space equally likely?
52
and are equally likley
For example: n(S) =
C. Describe the Event of interest. When providing this description, include the mutually exclusive and exhaustive categories you
are using, and phrase the Event in terms of those categories, integers along with the words: not/and/or
For example, categories: 4: Jacks, 4: Aces, 44 Other (non-Jacks and non_Aces): Event: 2 Jacks and 2 Aces and 1 Other
d. Determine the number of elements in the Event
4
44
For example: n(E) =
2
1
e. Determine the number of probability of the Event (note: if the outcomes are equally likely, then we use the relative frequency
n(E)
formula: P(E) =
n(S)
4
44
1
For example: P(E) =
52
Transcribed Image Text:For Example:Question: when a five card hand is randomly dealt from a standard deck of cards, what is the probability that 2 Jacks and 2 Aces result in the hand? a. Define the Experiment (note this is a description of the activity that is causing results. For example, randomly drawing 5 cards for a standard deck of 52 cards) b. Describe the Sample Space (note: this can be done by explicitly listing elements in the sample space - which is unlikely or counting the elements providing n(S)). Are the outcomes in the Sample Space equally likely? 52 and are equally likley For example: n(S) = C. Describe the Event of interest. When providing this description, include the mutually exclusive and exhaustive categories you are using, and phrase the Event in terms of those categories, integers along with the words: not/and/or For example, categories: 4: Jacks, 4: Aces, 44 Other (non-Jacks and non_Aces): Event: 2 Jacks and 2 Aces and 1 Other d. Determine the number of elements in the Event 4 44 For example: n(E) = 2 1 e. Determine the number of probability of the Event (note: if the outcomes are equally likely, then we use the relative frequency n(E) formula: P(E) = n(S) 4 44 1 For example: P(E) = 52
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