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Published byAriel Dorsey Modified over 9 years ago
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In your own words, describe what probability is; giving me an example of probability is not explaining to me what probability is. I expect to see a complete response.
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The Basics
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When we want the probability of some event, we are determining how likely that event will occur First, we must have an experiment; a phenomenon which has variation in its outcomes.
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Sample Space- the collection of all possible outcomes of the experiment Outcome-Any distinct occurrence resulting from an experiment; an element of the sample space Event-A group of outcomes that share a specific property of feature
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The probability of an event is a numerical value that represents the proportion of times the event is expected to occur when the experiment is repeated many times under identical conditions An event A occurs when any one of the elementary outcomes in A occurs
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A S
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List the sample space for each of the following experiments: The flipping of a coin The rolling of a single die
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It is said that no one person has the same fingerprint. So, although many fingerprints have similar features, each is unique. Assuming this to be true, how can we describe the sample space of finger prints if we could obtain everyone’s fingerprint? With probability in mind, in what ways can we make use of this data?
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Theoretical Probability-probability that is determined by mathematical deduction or reasoning Experimental/Empirical Probability- probability that is determined from the data obtained of an experiment; where n is the number of trials in the experiment
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If A is any event, then 0≤P(A)≤1 ∑P(e)=1 for all outcomes “e” in the sample space P(A⁰)=1-P(A)
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The compliment of an event A is every outcome in the sample space that is not in A A S
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The intersection of two events A and B is the set of events that are in both A and B The events A and B can occur simultaneously; as the same time A B S
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The union of events A and B is the set of outcomes that are in A, B, or both A B S
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We say that two events A and B are mutually exclusive when their intersection is the empty set This means that the two events cannot occur at the same time AB S
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Work Stations
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1. If I randomly select two numbers between 0 and 8, what is the probability that their sum will be less than or equal to 5? 2. True or False: 0<P(A)≤1 P(A)=.48 and P(A⁰)=.72 If events A, B, and C are all the events in the sample space, then P(A)=.32, P(B)=.42, P(C)=.52
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