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Q:
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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12. Jimmy rolls a 6 -sided die 20 times. What is the probability he rolls at least one 4 ?
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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 . a) ¿Cuál es la probabilidad de que ninguno esté disponible cuando se les necesite?
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9. Emma has a tank with two fish in it. The probability that the first fish lives for at least one year is 0.84 . The probability that the second fish lives for at least one year is 0.90 . What is the probability that both fish live for ore than one year? 10. Donny rolls 56 -sided dice all at once. What is the probability he rolls all 1 's? 11. Lana buys an unfair coin online. The coin is supposed to land heads up \( 75 \% \) of the time. If this is true, what is the probability that in 20 flips, the first 15 are heads and the last 5 tails?
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hi se lanzan seis monedas, ¿cuál es la probabilidad de obtener sello, cara, sello, sello, cara y cara, en ese orden?, ¿y la de obtener tres caras y tres sellos?
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9. Emma has a tank with two fish in it. The probability that the first fish lives for at least one year is 0.84 . The probability that the second fish lives for at least one year is 0.90 . What is the probability that both fish live for ore than one year?
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5. A sample of adults revealed that approximately \( 68 \% \) own their own home. In this same sample, \( 52 \% \) had completed some form of education after high school. Finally, \( 44 \% \) of respondents completed some form of post-high school education and owned their own home. Given that the respondent has completed some post high school education, what is the probability that they are a homeowner?
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4. A survey at a large high school reveals that \( 59 \% \) of students are studying a language other than English. Currently, \( 6 \% \) of the students who study another language are studying Mandarin. Given that a student is studying a language other than English, what is the probability they are studying Mandarin?
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