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Home Question Bank Math Probability Archive 2025 January 11

Probability Questions from Jan 11,2025

Browse the Probability Q&A Archive for Jan 11,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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1. A record label held auditions and suitable candidates were invited for assessment in beat making and singing (vocalists). 23 candidates attended the auditions. - 4 people make beats only. - people are both vocalists and beat makers. A) Draw a Venn diagram to represent the above information, showing all possible outcomes. A candidate is selected at random: B) Determine the probability that it will be a beat maker. C) Determine the probability that it will be a beat maker but not a vocalist. D) Determine the probability that it will be a vocalist and not a beat maker. E) What is the probability that it will be either a beat maker or a vocalist? Express your answer as a percentage. F) Determine the probability that it will be a vocalist. G) Determine the probability that the candidate is a vocalist and also makes beats. H) Are the events "the candidate is a vocalist" and "the candidate is a beat maker" exhaustive events? Elaborate. What are dependent events in probability? What are dependent events in probability? Bonpoc 10 Пока нет ответа Балл:1 Р Отметить sonpoc В пенале 7 карандашей и 5 ручек. Из пенала вынимают наугад сразу два предмета. Найдите вероятность того, что они будут одинаковыми Выберите один ответ: a. 35 b. \( \frac{35}{144} \) c. \( \frac{31}{66} \) d. \( \frac{37}{72} \) Bonpoc 10 Пока нет ответа Балл:1 Р Отметить sonpoc В пенале 7 карандашей и 5 ручек. Из пенала вынимают наугад сразу два предмета. Найдите вероятность того, что они будут одинаковыми Выберите один ответ: a. 35 b. \( \frac{35}{144} \) c. \( \frac{31}{66} \) d. \( \frac{37}{72} \) onpoc 9 Пока нет ответа Балл: 1 Р Отметить sonpoc В вазе 6 бананов, 11 апельсинов и 9 яблок. Найдите вер ятность того, что вынутый фрукт не банан Выберите один ответ: a. \( \frac{3}{13} \) b. \( \frac{10}{13} \) c. \( \frac{11}{40} \) d. \( \frac{11}{20} \) En una flesta hay 42 hombres y 26 mujeres. Se sabe que 12 de esos hombres y 18 de esas mujeres prefieren tomar jugo y el resto toma agua mineral. Si se elige a una persona al azar, ¿cuál es la probabilidad que, dado que sea hombre, prefiera tomar agua mineral? 55. Eight runners have equal chance of winning the race. What is the probability that a person wins the bet if he selects top 3 runners in the correct order? \( \begin{array}{llll}\text { a) } 5.61 \% & \text { b) } \frac{1}{336} & \text { c) } \frac{1}{112} & \text { d) None of these }\end{array} \) PRC2-QM January 2023 58. There are \( 85 \% \) chances of winning a match of team. Find the probability that it wins exactly 4 matches out of 5 ? \( \begin{array}{llll}\text { a) } 80 \% & \text { b) } 39.15 \% & \text { c) } 85 \% & \text { d) } 60.85 \%\end{array} \) (a) The sum of the dots on both dice is 4 . (b) The sum of the dots on both dice is 11 . (c) Both dice show the same number of dots.
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