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Home Question Bank Math Probability Archive 2025 January 08

Probability Questions from Jan 08,2025

Browse the Probability Q&A Archive for Jan 08,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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In a restaurant there are 5 starters, 7 main courses and 5 desserts. Jonathan is going to choose either a starter and a main, a main and a dessert, or a starte main and dessert. Work out how many possible choices Jonathan has. EXERCICE 2 On donne l'ensemble : \( E=\{1 ; 3 ; 5\} \) Déterminer tous les nombres de trois chiffres que l'on obtient en uf tisant les éléments de E: a\} A partir d'un comptage direct; bl A partir d'un arbre de cholix. 2. Combien de nombres de trols chilfres différents peut-on former avec les- etéments de E? EXERCICE 2 On donne l'ensemble : \( E=\{1 ; 3 ; 5\} \) Déterminer tous les nombres de trois chiffres que l'on obtient en uf tisant les éléments de E: a\} A partir d'un comptage direct; bl A partir d'un arbre de cholix. 2. Combien de nombres de trols chilfres différents peut-on former avec les- etéments de E? What is the definition of a compound event in probability? \begin{tabular}{l} A bag contains 12 red marbles, 14 yellow marbles, and 3 green marbles. \\ If 1 marble is chosen at random, which is the probability that it will be a blue marble? \\ A. \( \frac{1}{29} \) \\ C. \( \frac{1}{30} \) \\ D. \( \frac{1}{3} \) \\ E. \( \frac{29}{29} \) \\ \hline\end{tabular} \begin{tabular}{l} A bag contains 12 red marbles, 14 yellow marbles, and 3 green marbles. \\ If 1 marble is chosen at random, which is the probability that it will be a blue marble? \\ A. \( \frac{1}{29} \) \\ C. \( \frac{1}{30} \) \\ D. \( \frac{1}{3} \) \\ E. \( \frac{29}{29} \) \\ \hline\end{tabular} A bag contains 12 red marbles, 14 yellow marbles, ans If 1 marble is chosen at random, which is the prob \( \frac{0}{29} \) B. \( \frac{1}{30} \) C. \( \frac{1}{29} \) D. \( \frac{1}{3} \) E. \( \frac{29}{29} \) What does it mean for two events to be independent in probability? Eva Hope Misha, and Cole put their names into a basket. If selected without looking, what is the probability that the name will be "Cole"? a \( \frac{1}{3} \) C. \( \frac{3}{3} \) a What are dependent events in probability?
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