7. La carnetización de los estudiantes de un colegio se hace por medio de un código que consta de 2 vocales y 2 digitos. En el colegio, el número de alumnos crece rápidamente y el rector necesita saber cuál puede generar teniendo en cuenta que en un código pueden estar dos veces el mismo digito y dos veces la misma vocal. La cantidad maxima de alumnos que tendrá diferente identificación es: \( \begin{array}{ll}\text { a. } 32.768 & \text { b. } 1.800 \\ \text { c. } 2.500 & \text { t. } 125\end{array} \)

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 4 the second time. Find the probability of rolling an even number the first time and a number greater than 4 the second time. \( \square \) (Type an integer or a simplified fraction.)

19. A student at a certain college has \( 60 \% \) chance of passing an examination at the first attempt. Each time a student fails and repeats the examination; his chances of passing are increased by \( 15 \% \). Calculate the probability that a student in the college passes an examination at the second or at the third attempt. [3008 marks)

A fair coin is tossed three times in succession. The set of equally likely outcomes is \( \{\mathrm{HHH}, \mathrm{HHT}, \mathrm{HTH}, \mathrm{THH}, \mathrm{HTT}, \mathrm{THT}, \mathrm{TH}, \mathrm{TH}\} \). Find the probability of getting exactly one head. The probability of getting one head is \( \square \). (Type an integer or a simplified fraction.)

fair coin is tossed three times in succession. The set of equally likely outcomes is \( \{\mathrm{HHH}, \mathrm{HHT}, \mathrm{HTH}, \mathrm{THH}, \mathrm{HTT}, \mathrm{THT}, \mathrm{TH}, \mathrm{TTT}\} \). Find the probability of getting exactly e head.

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a club.