How many possible outcomes are from tossing two cubes labelled 1 through 6?As each cube can land with 1 of 6 faces on top there are 6 × 6 = 36 possible outcomes If the numbers displayed on the top faces are added together then there are 11 possible outcomes: 2, 3, 4, ..., 11, though they do not all occur with the same frequency: 2 can only occur when both cubes show a 1 3 can occur when one shows a 1 and the other shows a 2 4 can occur when one shows a 1 and the other shows a 3, or they both show a 2 and so on. The number of ways the sums can occur is: 2 - 1 way 3 - 2 ways 4 - 3 ways 5 - 4 ways 6 - 5 ways 7 - 6 ways 8 - 5 ways 9 - 4 ways 10 - 3 ways 11 - 2 ways 12 - 1 way 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 36 - all the possible outcomes of throwing the two cubes. Show
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Terms in this set (31)Chance Process The likelihood of the occurrence of a particular event. Different types: a likely event, an unlikely event, an equally likely event, an impossible event, a certain event Equally Likely Two or more events that have the same probability of occurring. Example: tossing a coin, the probability of flipping both sides of the coin are (P)=1/2 , or rolling a number cube, the probability of rolling any individual side is (P)=1/6. Relative Frequency How often something happens divided by all outcomes. They all add up to 1. Frequency How often something occurs. Probability A number between 0 and 1 that describes the likelihood that an event will occur. Sample Space The set of all possible outcomes in a probability situation. Compound Event Consists of two or more simple events. P(A and B)=P(A) x P(B) Random Number Generator A computational device designed to generate a sequence of numbers or symbols that lack any pattern Simulation The imitation of the operation of a real-world process or system over time. Tree Diagram A branching diagram that shows all possible outcomes in a probability situation. The number of final branches is equal to the number of possible outcomes. Area Diagram/Model A diagram in which fractions of the area of the diagram correspond to probabilities in a situation. They are helpful when the outcomes are not equally likely, and/or there are only two stages. Example: rolling a number cube and tossing a coin. Theoretical Probability Theoretical Probability of an event is the number of ways that the event can occur, divided by the total number of outcomes. It is finding the probability of events that come from a sample space of known equally likely outcomes. Experimental Probability A probability that is determined through observations or experiments. P(event)=(number of times an event occurs)/(total number of experiments) Event A collection of one or more favorable outcomes of an experiment. Example: HH when flipping two coins. Experiment An activity with varying results. Fair experiment An experiment in which all of the possible outcomes are equally likely. Random Events Events whose outcomes are uncertain when viewed individually, but which may exhibit a predictable pattern when observed over many trials. Independent Event Two events such that the occurrence of one event does not affect the likelihood that the other event will occur. (You flip a coin and roll a number cube. The events "flipping tails" and "rolling a 4" are independent events.) Dependent Event An event whose probability depends on events that preceded it. P(A and B)= P(A) x P(B following A). Outcome A possible result of an experiment. Example: possible outcomes when a number cube is rolled are 1, 2, 3, 4, 5, and 6. Favorable Outcome Outcomes corresponding to a specified event. When rolling a number cube, for the event "rolling an even number" it would be 2, 4, and 6. Counting Principle If there are m ways of making one choice and n ways of making a second choice, then there are m×n ways of making the first choice followed by the second. Compliment The probability of an event plus its compliment equals 1, or 100%. Random Sample A set of data that is chosen in such a way that each member of the population has an equal probability of being selected.
Population The set of possibilities for which data can be selected Compound Events An event made up of two or more independent events Expected Value The average value of a repeated observations in a replicated experiment. Law of Large Numbers The long run relative frequency of an experiment, based on a large number of trials. Sample A subset of a population collected by a defined procedure for the purpose of making inferences from the sample to the population. Probability Model A mathematical representation of a random phenomenon that includes listing the sample space, and the probability of each element in the sample space. Uniform Probability Model When all of the outcomes of a probability model are equally likely Sets with similar termsStats Ch 5 terms20 terms dmhutton705 Chapter 1018 terms DoaneSL AlgCh.11 Vocabulary30 terms l607309608126 Probability Vocabulary Station22 terms jhrester Sets found in the same folderChapter 5 Homework Questions38 terms Elsie_Stormberg Chapter 9 - Probability: Vocabulary19 terms kathrynstamm Common Core Unit 7 - Probability (part 1)13 terms arulevish Geometry Unit 5 - Probability and Statistics39 terms otaku11 Other sets by this creatorGeometry60 terms Horizon_7_Math Ratio and Proportions21 terms Horizon_7_Math Expressions and Equations25 terms Horizon_7_Math Number Systems Unit40 terms Horizon_7_Math Verified questionsMATH find the 100th term for 1, 8, 15, 22... Verified answer
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What is the number of outcomes in an event?The event space is the number of outcomes in the event you are interested in. The event space for rolling a number less than three is 1 or 2. So the size of the event space is 2. For equally likely outcomes, the probability of an event E can be written P(E).
Is how many times an event occurs divided by the total number of trials?The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted. The relative frequency is not a theoretical quantity, but an experimental one.
What type of probability of an event uses the ratio of the number of ways that an event can occur to the total number of outcomes?The odds are the ratios that compare the number of ways the event can occur with the number of ways the event cannot occurr. The odds in favor - the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.
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It refers to the number of ways the event can occur divided by the number of total outcomes
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