How might we calculate the following cumulative probabilities? a. The outcome \( p \) happens \( n \) times in a row: b. The outcome \( p \) fails to occur \( n \) times in a row: c. The outcome \( p \) happens at least once in \( n \) attempts: d. The outcome \( p \) fails to occur at least once in \( n \) attempts:

Two dice are rolled. Enter the size of the set that corresponds to the event that the sum of the dice is 3 .

Lisa forgot the password of an online service, but remembers that the password was just made of lowercase vowels \( (a, e, i, 0, u) \), was 4 characters long and contained at least one ' \( i \) '. How many possible passwords fulfill these requisites? Ex: 5

In concurso consiste en lanzar dos dados normales al aire..El participante lana solo si el producto de los números en las caras resulta un número urimo. ¿Cuál es la probabilidad de perder en el concurso?

Pregunta 1: ¿Cuántas maneras hay de seleccionar 3 libros de 12?

Enter the size of the sample space when six coins are flipped.