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Home Question Bank Math Probability Archive 2024 December 23

Probability Questions from Dec 23,2024

Browse the Probability Q&A Archive for Dec 23,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What are dependent events in probability? 5,000 tickets are sold for a raffle at \( € 10 \) each for a single prize of \( € 20,000 \). (a) What is the probability that a person wins the prize if they buy one ticket? (b) What is the expected value if a person purchases one ticket? Is this a good bet? Justify your answer. Au début de l'année scolaire, les élèves d'une classe peuvent choisir entre LV2 russe ou LV2 espagnol. Soient les événements suivants: \( R \) : l'élève fait LV2 russe E: I'èlève fait LV2 espagnol G: l'élève est un garçon F: I'élève est une fille On choisit un élève au hasard dans la classe. Comment noter la probabilité l'èlève fait LV2 espagnol et l'élève est un garçon? 2. Beş günün sonunda üretilen tüm makineler göz önüne alındığında rastgele seçilen bir makine- nin pazartesi günü üretilen bozuk makine olma olasılığı kaçtır? English has 26 different letters. How many consecutive words have to be selected in a book to have at least 5 that start with the same letter? Words to select: Ex: 20 A bag contains 10 red marbles, 10 white marbles, and 10 blue marbles. What is the minimum number of marbles that need to be picked to ensure that at least 7 marbles have the same color? Marbles to pick: Ex: 20 In a standard deck of 52 cards and 4 sults, how many cards have to be picked to be sure that at least 3 are from the same suth? Cards to pick: 20 a) In a certain town, the ratio of the number of males to the number of females is \( 4: 3 \). If 10 residents of the town are picked at random, find the probability that (i) exactly 4 residents are female, (ii) at most 2 of the residents are female. 10) There is one error in one of five blocks of a program. To find the error, we test three randomly selected blocks. Let \( X \) be the number of errors in these three blocks. Compute \( \mathrm{E}(\mathrm{X}) \) and \( \operatorname{Var}(\mathrm{X}) \). If event A has a probability of \( 0.5 \) and event B has a probability of \( 0.3 \), what is the probability that both events occur?
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