3. Let \( S=\{1,2,3,4,5,6\}, E=\{2,4,6\}, F=\{1,2,5\} \) and \( G=\{4,5\} \) Find the event \( (E \cap F \cap G)^{C} \).

Between 12:00 PM and 1:00 PM, cars arrive at a bank's drive-thru at the rate of 18 cars per hour (0.3 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within \( t \) minutes of \( 12: 00 \) PM. Complete parts (a)-(c). \[ F(t)=1-e^{-0.3 t} \] (a) Determine how many minutes are needed for the probability to reach \( 30 \% \). About 1.19 minutes are needed for the probability to reach \( 30 \% \). (Round to two decimal places as needed.) (b) Determine how many minutes are needed for the probability to reach \( 90 \% \). About \( \square \) minutes are needed for the probability to reach \( 90 \% \). (Round to two decimal places as needed.)

1 - Unestudiante que no se ha preparado absolutamente nada para un examen, ve que este contiene 20 preguntas de verdadero y falso. Decide lanzar una moneda al aire para responder. Anota verdadero si la moneda cae por cara y falso si cae por sello. A) ¿Qué probabilidad hay de que pase el examen si para hacerlo debe contestar correctamente el \( 70 \% \) de las preguntas? 8) ¿Qué probabilidad hay de que conteste por lo menos la mitad de las preguntas correctamente?

Between 12:00 PM and 1:00 PM, cars arrive at a bank's drive-thru at the rate of 18 cars per hour ( 0.3 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within \( t \) minutes of 12:00 PM. Complete parts (a)-(c). F(t) \( =1-e^{-0.3 t} \) (a) Determine how many minutes are needed for the probability to reach 30\%. About \( \square \) minutes are needed for the probability to reach 30\%. (Round to two decimal places as needed.)

What are dependent events in probability?

10. Se lanzan dos dados comunes. ¿Cuál es la Probabilidad de que: a) salgan dos números impares? b) la suma de los números sea menor a 9? c) uno sea par y el otro sea menor que 5 ? d) la suma sea 10 o el producto sea impar? e) el producto de los números sea número primo? f) la diferencia positiva sèa 3 o el màyor seà múltiplo del menor?