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 Step 5: Determine the probability of the Event (note: if the outcomes are equally likely, then we use the relative frequency formula:
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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
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
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
Step 5: Determine the probability of the Event (note: if the outcomes are equally likely, then
we use the relative frequency formula:
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