3) Una caja tiene 12 esferas de igual tamaño y peso. Cada una de ellas contiene una le de la palabra DEPARTAMENTO. ¿Cuál(es) de la(s) siguientes afirmaciones es(sc verdadera(s) I) La probabilidad de sacar una M es \( 1 / 12 \) II) La probabilidad de no sacar una vocal es \( 7 / 12 \) III) La probabilidad de sacar una A es la misma que de sacar una T A) Sólo I B) Sólo III C) Sólo I y II D) Sólo I y III E) I, II y III

What is the probability of rolling a 1 or a 4 on a number cube labeled 1 through 6 ? B. \( \frac{1}{6} \) D. \( \frac{1}{3} \) E. \( \frac{1}{2} \) E. \( \frac{5}{6} \)

3. La probabilidad de que cierta clase de componente sobreviva a una prueba de choque es de 0.85. De los siguientes 15 componentes que se prueban calcule la probabilidad de que: a). sobrevivan 10 componentes. \( R=0.04489 \) b). no sobrevivan máximo 2 componentes. \( R=0.6042 \) c) calcule el promedio de componentes que sobreviven. \( R=12.75 \)

In a group of people on holiday, it is established that there are: - 10 males under the age of 21 - 8 females under the age of 21 - 6 males aged between 21 and 30 - 5 females aged between 21 and 30 Calculate the probability that, if one person is selected at random from the group this person will be: \( \begin{array}{ll}\text { a) A male under the age of } 30 . \\ \text { b) A female. } \\ \text { c) A male over the age of } 21 . \\ \text { d) A person not older than } 21 . \\ \text { e) A male given that this person is over } 30 \text { years. } \\ \text { f) A female or between } 21 \text { and } 30 . \\ \text { g) A male or a female. }\end{array} \)

The events that Aaron's team and Betty's team win their next games are \[ \text { of } P(A) \text { and } P(B) \text {. } \] dependent equal product

A club with fifteen members is to choose three officers: president, vice-president, and secretary-treasurer. If each office is to be held by one person and no person can hold more than one office, in how many ways can those offices be filled?