# An event represents all of the possible outcomes of an experiment. true false

If all simple events are equally likely, the probability of an event is the number of simple events within it, divided by the total number of simple events in the sample space. True If events A and B have one or more simple events in common, then the probability of the intersection of A and B is greater than 0. B) the probabilities for all possible outcomes must sum to 1.00. C) the probability of success must be less than 0.1. D) the events must be dependent. 7 CORRECT For a binomial probability distribution: A) the number of trials must be between 1 and 20. B) each trial is limited to two outcomes. C) there must be at least 3 possible outcomes. True/ False Statements An event is a collection of one or more simple events of an experiment Different events that have no outcomes in common are mutually exclusive events. The complement of an event A. denoted by Ac consists of all the outcomes in the sample space S that are not in A. Further H and T are all the outcomes of the experiment and P (H) + P (T) = 1. 16.1.10 Classical definition If all of the outcomes of a sample space are equally likely, then the probability that an event will occur is equal to the ratio : The number of outcomes favourable to the event The total number of outcomes of the sample space A random variable’s possible values might represent the possible outcomes of a yet-to-be-performed experiment, or the possible outcomes of a past experiment whose already-existing value is uncertain (for example, as a result of incomplete information or imprecise measurements). Assuming each of these $16$ sequences is equally likely to occur (as would result from random guessing), the probability that all four questions are answered correctly is $1/16$. If we assume that a person is equally likely to guess true or false on each question, then he or she has probability $1/2$ of answering each question correctly. Anything that could possibly happen is an event. Every event has one or more possible outcomes. While tossing a coin is an event, getting tails is the outcome of that event. Likewise, while walking in the park is an event, finding your friend sitting on the bench is an outcome of that event. Aug 03, 2020 · Consider a probability distribution in which the outcomes of a random event are not equally likely to happen. If random variable, Y, is the number of heads we get from tossing two coins, then Y ... FALSE An experiment is the procedure for which the probability of an event is calculated. The possible results of an experiment are outcomes. The sample space of a random experiment contains all of the possible outcomes. true. An event is a subset of the sample space of a random experiment. true. If a sample space consists of N possible outcomes that are equally likely, the probability of each outcome is 1/N. true. Aug 03, 2020 · Consider a probability distribution in which the outcomes of a random event are not equally likely to happen. If random variable, Y, is the number of heads we get from tossing two coins, then Y ... Total number of all possible outcomes A) True B) False 13) In terms of probability, a(n) _____ is any process with uncertain results that can be repeated. A) Experiment B) Sample space C) Event D) Outcome 14) A(n) _____ of a probability experiment is the collection of all outcomes possible. If you're doing a trial, something that is probabilistic, a trial or an experiment, a sample space is just the set of the possible outcomes. So a very simple trial might be a coin flip. So if you're talking about a coin flip, well then the sample space is going to be the set of all the possible outcomes. 1 Sample spaces and events To treat probability rigorously, we de ne a sample space Swhose elements are the possible outcomes of some process or experiment. For example, the sample space might be the outcomes of the roll of a die, or ips of a coin. To each element xof the sample space, we assign a probability, which The outcomes are mutually exclusive, meaning that they cannot happen at the same time. So the three outcomes are separate. Because there are only three outcomes, we know that one of these outcomes will definitely happen. Thus, the probability of the three outcomes must add up to 1 (representing 100% certainty): $$p + \frac{p}{2} +\frac{p}{4}=1$$. Number of favorable outcomes P(E 13) = Total number of possible outcome = 11/36. 4. Two dice are thrown. Find (i) the odds in favour of getting the sum 5, and (ii) the odds against getting the sum 6. Solution: We know that in a single thrown of two die, the total number of possible outcomes is (6 × 6) = 36. Let S be the sample space. Then, n(S ... Obtain the probability of the event. It is given that there are 40 possible outcomes in an experiment. Moreover, all the outcomes are equally likely. Also, an event occurs in 25 ways. The probability of an event is, 7) True or False: An outcome is any collection of events from a probability experiment. A) False B) True 7) 8) In a 1-pond bag of skittles the possible colors were red, green, yellow, orange, and purple. The probability of drawing a particular color from that bag is given below. The sample space of a random experiment contains all of the possible outcomes. true. An event is a subset of the sample space of a random experiment. true. If a sample space consists of N possible outcomes that are equally likely, the probability of each outcome is 1/N. true. True b. False ANSWER: True POINTS: 1 TOPICS: Multiplication law for independent events 16. Two events that are mutually exclusive cannot be independent. a. True b. False ANSWER: True POINTS: 1 TOPICS: Basic relationships of probability 17. P(A|B) = P(B|A) for all events A and B. a. True b. False ANSWER: False POINTS: 1 TOPICS: Conditional ... An event represents all of the possible outcomes of an experiment True False Discrete data can have infinite number of values within a specific interval True False If the class sizes are not equal for a frequency distribution using grouped quantitative data, patterns in the distribution could be misleading True False Which of the following statements is true regarding the normal probability ... Denoted E C, this is all outcomes in the sample space "S" that are not outcomes in the event E. P(E or E C) = P(E) + P(E C) = P(S) = 1 Subtract P(E) from both sides and the complement rule is obtained: P(E C) = 1 - P(E) If E represents any event and E C represents the complement of E, then P(E C) = the area outside the circle in a Venn Diagram. a) A tree diagram of all possible outcomes. b) The probability that the two numbers obtained: (i) have different values. Let S be the sample space and A be the event that the two values are different . n(S) = 12 ; n(A) = 10 . P(A) = (ii) are both even. Let B be the event that both values are even. n(B) = 6 . P(B) = (iii) are both prime. Let’s list each possible outcome (or possible result): {HHH, THH, HTH, HHT, HTT, THT, TTH, TTT} Now let’s define the following events: Event A: “Getting no H” Event B: “Getting exactly one H” Event C: “Getting at least one H” Note that each event is indeed a statement about the outcome that the experiment is going to produce. If there are two possible outcomes, the probability would be 50% or 1/2 (AN EVEN CHANCE). "Equally likely events" refers to the chances of each possible outcome among many being equal. For example ... FALSE An experiment is the procedure for which the probability of an event is calculated. The possible results of an experiment are outcomes. If all simple events are equally likely, the probability of an event is the number of simple events within it, divided by the total number of simple events in the sample space. True If events A and B have one or more simple events in common, then the probability of the intersection of A and B is greater than 0. All of the possible outcomes of an experiment are called the event. True False. All of the possible outcomes of an experiment are called the event. FALSE. All of the possible outcomes of an experiment are called SAMPLE SPACE. s. Log in for more information. Question. the subset of all possible outcomes of the random experiment for which the event is true. Indeed, take a moment to convince yourself that the verbal