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Hogar Banco de preguntas Matemáticas Probability Archive 2025 January 22

Probability Questions from Jan 22,2025

Browse the Probability Q&A Archive for Jan 22,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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On lance un dé équilibré à 20 faces. Les faces sont numérotées de 1 à 20. 1. Quelle conclusion peut-on tirer du fait que le dé soit équilibré? 2. Quelle est la probabilité des événements suivants? a. A: «obtenir un résultat supérieur ou égal à 7 ». b. B: «obtenir un résultat pair ». c. «obtenir un nombre premier ». d. . Dans une urne, il a deux boules rouges et supérieur ou égal et deux boules noires et . On en tire deux boules successivement avec remise. 1. Reprësenter cette situation par un arbre de dénombrement. 2. Combien y a-t-il d'issues si on ne considère que la couleur des boules tirées? 3. Quelle est la probabilité des événements suivants? a. A: « obtenir deux boules noires ». Anecdote b. B: «obtenir deux boules de la même couleur». Venn lui-même "diagramme d A bag contains 2 blue marbles, 4 red marbles, and 4 yellow marbles. The probability of drawing a blue marble out of the bag is or . How many of what color of marbles must be added to the bag so that the probability of a blue marble being drawn at random from the bag is ? A bag contains 2 blue marbles, 4 red marbles, and 4 yellow marbles. The probability of drawing a blue marble out of the bag is or . How many of what color of marbles must be added to the bag so that the probability of a blue marble being drawn at random from the bag is ? Select the correct answer below and fill in the answer box within your choice. (Type a whole number.) A. There must be yellow marbles added to the bag. B. There must be blue marbles added to the bag. C. There must be red marbles added to the bag. Each question of a 5-question multiple choice exam has 3 possible answers. Suppose a student picks an answer at random for each question. Find the probability the student selects the correct answer on none of the questions. The probability that none of the questions are answered correctly is (Simplify your answer. Type an integer or a fraction.) A student claims that "if the probability of an event is , then there are three ways the event can occur and only five elements in the sample space." How do you respond? Choose the correct answer below. A. The probability of an event is not a ratio and therefore must reflect the number of elements in the event or in the sample space. B. The probability of an event is a ratio and therefore reflects the number of elements in the event or in the sample C. The probability of an event is not a ratio and does not necessarily reflect the number of elements in the event or in the sample space. D. The probability of an event is a ratio and does not necessarily reflect the number of elements in the event or in the sample space. A student tosses a coin 3 times, and a head appears each time. The student concludes that the coin is not fair. What is your response? Which of the following is a correct response to the statement? A. Tossing three heads on the first three tosses of a coin does imply the coin is unfair. Only when a fair coin is tossed a few times can we expect to get approximately equal numbers of tails and heads. B. Tossing three heads on the first three tosses of a coin does imply the coin is unfair. C. Tossing three heads on the first three tosses of a coin does not imply the coin is unfair. Only when a fair coin is tossed a few times can we expect to get approximately equal numbers of tails and heads. D. Tossing three heads on the first three tosses of a coin does not imply the coin is unfair. Only when a fair coin is tossed a much greater number of times can we expect to get approximately equal numbers of tails and heads. . Ian and Sophia flip a fair coin ten times and record their results; they find that the coin landed on heads eight times. lan says, "This means the coin will land on heads of the time!" Sophia says, "I don't think so; if we flip it many more times, our results should be closer to it landing on heads about of the time." Who is right? How do you know? Choose the correct answer below. A. Ian is right, because 8 out of 10 is . B. lan is right, because a coin isn't neccessarily heads of the time, and the sample probability is usually near the population probability. C. Sophia is right, because of the Law of Large Numbers (Bernoulli's Theorem). D. Sophia is right, because the coin should land on heads exactly of the time. If events and are from the same sample space, and if and , can events and be mutually exclusive? Explain. Choose the correct answer below. A. All probabilities are less than or equal to 1 and greater than or equal to 0 . If events are mutually exclusive, then . Therefore, if and are mutually exclusive, , which is impossible. Therefore, events and are not mutually exclusive. B. All probabilities are less than or equal to 1 and greater than or equal to 0 . If events are mutually exclusive, then . Therefore, if and are mutually exclusive, , which is possible. Therefore, events and are mutually exclusive. C. All probabilities are less than or equal to 1 and greater than or equal to 0 . If events are mutually exclusive, then . Therefore, if and are mutually exclusive, , which is possible. Therefore, events and are mutually exclusive. D. All probabilities are less than or equal to 1 and greater than or equal to 0 . If events are mutually exclusive, then . Therefore, if and are mutually exclusive, , which is possible. Therefore, events and are mutually exclusive. D. A Let the universal set, , be the set of students at Central High, be the set of students taking algebra, and be the set of students taking chemistry. If a student is selected at random, describe in words what is meant by each of the following probabilities. a. b. c. บ. Ine prodadilty or a student taking algedra or cnemistry b. Describe the meaning of the probability in words. Choose the correct answer below. A. The probability of a student taking algebra and chemistry B. The probability of a student not taking chemistry C. The probability of a student taking algebra or chemistry D. The probability of a student not taking algebra c. Describe the meaning of the probability in words. Choose the correct answer below. A. The probability of a student not taking algebra B. The probability of a student taking algebra C. The probability of a student not taking chemistry D. The probability of a student taking chemistry
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