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Probability Questions & Answers

Q:
En una clase de 10 alumnos van a distribuirse 3 premios. Averiguar de cuántos modos puede hacerse si: 1. los premios son diferentes; 2. los premios son iguales.
Q:
En una clase de 10 alumnos van a distribuirse 3 premios. Averiguar de cuántos modos puede hacerse si: 1. los premios son diferentes; 2. los premios son iguales.
Q:
¿De cuántas maneras pueden sentarse 10 personas en un banco si hay 4 sitios disponibles?
Q:
For \( 6-10 \), use the information given to calculate \( P(A \) or \( B)=P(A)+P(B)-P(A \) and \( B) \). \( \begin{array}{l}\text { 6. } P(A)=.5, P(B)=.3, P(A \text { and } B)=.06 \\ \text { 7. } P(A)=.4, P(B)=.1, P(A \text { and } B)=.05 \\ \text { 8. } P(A)=.65, P(B)=.22, P(A \text { and } B)=.08 \\ \text { 9. } P(A)=\frac{4}{52}, P(B)=\frac{13}{52}, P(A \text { and } B)=\frac{1}{52} \\ \text { 10. } P(A)=\frac{3}{8}, P(B)=\frac{5}{8}, P(A \text { and } B)=0\end{array} \)
Q:
Sisipho has a bag containing six coloured balls: 1 blue ball; 2 red balls and 3 yellow balls. She puts her hand in the bag and draws a ball. What is the chance that she will draw a red ball? Write the answer in its simplest fraction form.
Q:
9. En una empresa el promedio de accidentes es de 3 por mes, suponiendo que el número de accidentes se distribuye de acuerdo con una distribución de Poisson, calcular la probabilidad de a) que no ocurra ningán accidente en un mes b) que como máximo ocurran 2 accidentes en un mes c) que ocurran 8 accidentes en un trimestre
Q:
Defects in a certain wire occur at the rate of one per 10 meter. Assume the defects have a Poisson distribution. What is the probability that : - a 20-meter wire has no defects? - a 20-meter wire has at most 2 defects?
Q:
Defects in a certain wire occur at the rate of one per 10 meter. Assume the defects have a Poisson distribution. What is the probability that : - a 20-meter wire has no defects? - a 20-meter wire has at most 2 defects?
Q:
For two events V and W which are not mutually exclusive, you are given the following information: - \( \mathrm{P}(\mathrm{V})=0,35 \) - \( \mathrm{P}(\mathrm{W})=0,55 \) - \( \mathrm{P}(\mathrm{V} \) or W\( )=0,8 \) Let the value of \( \mathrm{P}(\mathrm{V} \) and W\( )=x \). 7.3.1 Draw a Venn diagram based on the information given above.
Q:
de \( \begin{array}{l}\text { Arrondir à } 10^{-4} \\ \text { 1. Quelle est la probabilité } p \text { d'obtenir une boule rouge à un } \\ \text { tirage? } \\ \text { 2. On procède à } 4 \text { tirages successifs avec remise. On note } X \\ \text { le nombre de boules rouges obtenues. Quelle est la pro- } \\ \text { babilité d'obtenir: } \\ \text { (a) exactement } 3 \text { boules rouges? } \\ \text { (b) au plus } 2 \text { boules rouges? } \\ \text { (c) au moins } 3 \text { boules rouges? }\end{array} \).
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