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Home Question Bank Math Probability Archive 2024 December 16

Probability Questions from Dec 16,2024

Browse the Probability Q&A Archive for Dec 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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* 3. Analyze In a bag of 60 marbles, 18 are green. If one marble is drawn from the bag, what is the probability the marble is \( \begin{array}{ll}\text { a. green? } & \text { b. not green? }\end{array} \) experiment of tossing a coin once, then a die is rolled once. observing the s. If A is the event of the appearance of a head and a prime number, 3 is the ppearance of an even number. Find the probability of the occurrence of each of th, and then calculate the probability of the following events: The occugence of one of the events at least The occurrence of the two events together The occurrence of only the event B The occurrence of only one of the two events Choose all the incidences that are independent. Select 3 correct answer(s) A coin is flipped two times. A standard six-sided die is rolled three times. A standard deck of cards has 52 cards. Two cards will be selected, with A bag contains 20 slips of paper numbered 1 to 20 . Three slips will be selected without replacement. Question 7 (2 points) There are two spinners. One spinner has four equally sized sectors that are numbers \( 2,4,6,8 \). The second spinner has five equally sized sectors that are labeled \( \mathrm{A}, \mathrm{B}, \mathrm{C} \), D , and E . Each spinner is spun once. How many outcomes do not show D . When things are operating properly, a certain Internet bank can process a maximum of 38 electronic transfers every minute during the busiest periods of the day. If it receives more transfer requests than this, then the bank's computer system will become so overburdened that it will slow to the point that no electronic transfers can be handled. If during the busiest periods of the day requests for electronic transfers arrive at the rate of 230 per 10 -minute period on average, what is the probability that the system will be overwhelmed by requests? Assume that the process can be described using a Poisson distribution. The probability that the system will be overwhelmed by requests is (Round to four decimal places as needed.) If you draw a card from a deck and do not replace it, what type of events does this represent when drawing a second card? Sacar dos calcetines de un cajón en donde, desordenados, se encuentran los siguientes: par de calcetines rojos, par de calcetines a rayas, par de calcetines de bolitas, par de calcetines de estrellas. У Сергея в классе принято в день рождения угощать одноклассников сластями. Сергей принёс для своих одноклассников 11 батончиков с арахисом, 9 - с фундуком и 5 - с миндалём. Сергей не глядя достаёт из пакета батончик и вручает каждому однокласснику по очереди. Первой батончик получает Оля, вторым - Петя. а) Найдите вероятность того, что Оле достанется батончик с миндалём. б) Найдите вероятность того, что Оля и Петя получат батончики с фундуком. A can contains 200 mixed nuts: almonds, cashews, and peanuts. If the probability of choosing an almond is \( \frac{1}{10} \) and the probability of choosing a cashew is \( \frac{1}{4} \), how many peanuts are in the can? 8 In einer Schale liegen vier rote und sechs grūne Kugeln. Sie ziehen ohne hinzusehen 20 -mal eine Kugel und legen sie jeweils wieder zurūck. Wie groß ist die Wahrscheinlichkeit für die Ziehung von \( \begin{array}{ll}\text { a) genau } 8 \text { roten Kugeln } & \text { b) höchstens } 8 \text { roten Kugeln } \\ \text { c) mindestens } 8 \text { roten Kugeln } & \text { d) mindestens } 6 \text { und höchstens } 10 \text { roten Kugeln? }\end{array} \)
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