Probability (possibility): The probability of an event is ...



Probability (possibility): The probability of an event is a ratio that compares the number of favorable outcomes to the number of possible outcomes. OrProbability is the measure of how likely an event is to occur.A probability can be expresses as a percent, a decimal, or a fraction between 0 and 1.Outcome (result): Each possible result (outcome) of a probability experiment or situation is an outcome.Event: An event is an outcome or a set of outcomes.Random: random means fair, without looking, no favoritism.Biased: A favor to a particular outcome is called biased.Fair: No favor to a particular outcome.Fair Game: A game in which payers of equal skill have an equal chance of winning is a fair game.Tree Diagram: A tree diagram is used to show all of the possible outcomes, or sample space, in a probability experiment.Sample space: The sample space is the set of all possible outcomes.Venn diagram: A diagram that uses circles or ovals to represent relationships for simple events.Example:Fundamental Counting principle (FCP): If event M can occur in m ways and is followed by event N that can occur in n ways, then the event M followed by N occur in m x n ways. This is called the Fundamental Counting principle (FCP).Factorial: The expression n factorial (n!) is the product of all counting numbers beginning with n and counting backward to 1.Theoretical Probability: Theoretical probability is the expected probability of an event occurring.Experimental Probability: Experimental probability is found using frequencies obtained in an experiment or a plementary events (partners, completers each others): Two events that are the only ones that can possibly happen are complementary events. The sum of probabilities of complementary events is plement: The missing part that completes the event to make it a whole (1).Mutually exclusive: When 2 events can’t happen at the same time, they are called mutually exclusive events. Exclusive means excluding, not included.Example: When we roll a coin, we cannot get the head and tail at the same time.Non-mutually exclusive: When 2 events can happen at the same time, they are called non-mutually exclusive events.Example: When we roll a number cube, we can get even numbers and multiple of 3 at the same time.Venn diagramEqually Likely Outcomes: have the same chance of occurring. When you toss a fair coin, heads and tails are equally likely outcomes.Favorable Outcomes: are outcomes in a specified event. Theoretical Probability: The theoretical probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes.Theoretical Probability:Number of favorable outcomesNumber of total outcomesSAMPLE SPACETo find all possible outcomes in a sample space we usually organized possible outcomes of all events byTable: Table is the best form to organize the data when there are only 2 events.Example: Tree Diagram: Tree diagram has branches according to the events. Tree diagram is equally useful for 2 or more than 2 events.Example:Venn diagram: A diagram that uses circles to represents relationships for simple events.Example: ................
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