Probability Questions from Dec 14,2024

Browse the Probability Q&A Archive for Dec 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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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? You enter a raffle where ten- thousand raffle tickets are given away. One first prize of \( \$ 2,000,3 \) second prizes of \( \$ 900 \) each, and 10 third prizes of \( \$ 200 \) each are to be awarded, with all winners selected randomly. If you have one ticket, what are your expected winnings? A. 116 cents B. 107 cents C. 67 cents D. 31 cents Una brigada está compuesta por 6 hembras y 2 varones. a) Las formas diferentes de escoger 3 de ellas para la limpieza es: b) Las maneras diferentes de repartir una escoba y un haragán entre las hembras es de: c) La probabilidad de que al seleccionar al azar un jefe de brigada y que este no resulte un varón es de: b) \( -\frac{C_{3}^{6}}{6} \) En el estudio se encontró que \( 30 \% \) de los empleados que se van de la empresa antes de dos años, lo hacen por estar insatisfechos con el salario, \( 20 \% \) se van de la empresa por estar descontentos con el trabajo y \( 12 \% \) por estar insatisfechos con las dos cosas, el salario y el trabajo. ¿Cuál es la probabilidad de que un empleado que se vaya de la empresa en menos de dos años lo haga por estar insatisfecho con el salario, con el trabajo o con las dos cosas? 3. ¿Cuántas permutaciones de tres objetos se pueden seleccionar de un grupo de seis objetos? Use las letras \( A, B, C, D, E \) y \( F \) para identificar a los objetos y enumere cada una de las permutaciones factibles para los objetos \( B, D \) y \( F \). Leah's Yummy Food store sold 14 bagels. Seven of them were plain bagels. What is the experimental probability that the next bagel sold will be a plain bagel? Write your answer as a percent rounded to the nearest whole number. From a pack of 52 playing cards Jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is (ii) Median A three-digit number is formed at random using the digits 1,6 and 9 . If no digit is repeated in any of the numbers, find the probability that the number formed is greater than 600 . 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? Jaka jest różnica między zdarzeniami niezależnymi a zależnymi? Podaj przykład.
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