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Probability Questions & Answers

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7. How many outcomes are in the sample space when rolling a fair dice?
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\( \begin{array}{ll}\text { 3. } & \text { Considere un experimento binomial con } \boldsymbol{n}=\mathbf{1 0} \text { y } \boldsymbol{p}=\mathbf{0 , 1 0} \\ \text { a. } & \text { Calcule } f(0) \text {. } \\ \text { b. } & \text { Calcule } f(2) . \\ \text { c. } & \text { Calcule } P(x \leq 2) . \\ \text { d. } & \text { Calcule } P(x \geq 1) . \\ \text { e. } & \text { Calcule } E(x) . \\ \text { f. } & \text { Calcule } \operatorname{Var}(x) \text { y } \sigma .\end{array} \)
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(ii) Cari kebarangkalian bahawa kedua-dua kad yang diperoleh itu ialah nombor. Find the probability of obtaining both cards labelled with numbers. (iii) Cari kebarangkalian bahawa satu keping kad dilabel dengan nombor dan satu ke kad dilabel dengan huruf diperoleh. Find the probability of obtaining a card labelled with number and the other card labelled letter.
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Cari kebarangkalian bahawa kedua-dua kad yang diperoleh itu ialah nombor. Find the probability of obtaining both cards labelled with numbers. Cari kebarangkalian bahawa satu keping kad dilabel dengan nombor dan satu keping kad dilabel dengan huruf diperoleh. Find the probability of obtaining a card labelled with number and the other card labelled with letter. [ 6 markah/6 marks]
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2) En una mano de póquer que consiste en 5 cartas, encientre la probalilidad de vmer
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Identical cards are taken and the numbers from 1 to 19 are written on them, they are put in a container and at random one card is drawn. Two events are given: Event A: Draw a card with a double-digit number. Event B: Draw a card with a prime number. 8.2.1 Draw a Venn diagram illustrating real events in this experiment. 8.2.2 How many numbers are not double digits and not prime numbers?
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2) En una mano de póquer que consiste en 5 cartas, encuentre la probabilidial de umen
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Si un experimento consiste en lanzar un dado y después extraer una letra al azar del alfabeto ing ¿cuántos puntos habrá en el espacio muestral?
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OUESTION 8 \( \begin{array}{ll}\text { 8.1 } & \text { For two events } A \text { and } B \text {, it is given that: } P(A)=0,3 \\ P(B)=0,5 \text { and } P(A \text { or } B)=0,7\end{array} \) \( \begin{aligned} \text { 8.1.1 } & \text { Calculate } P(\text { not } B)\end{aligned} \) 8.1.2 Calculate \( P(A \) and \( B) \)
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3) Una ciudad tiene dos carros de bomberos que operan de forma independiente. La probabilidad de un carro especifico esté disponible cuando se le necesite es 0.96 .
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