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 - 5 females aged between 21 and 30 - 7 males over the age of 30 Calculate the probability that, if one person is selected at random from the group this person will be: \( \begin{array}{l}\text { a) A male under the age of } 30 . \\ \text { b) A female. } \\ \text { c) A male over the age of } 21 . \\ \text { d) A person not older than } 21 . \\ \text { e) A male given that this person is over } 30 \text { years. } \\ \text { f) A female or between } 21 \text { and } 30 . \\ \text { g) A male or a female. }\end{array} \)

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

6) An auto parts store purchases rebuilt alternators from two suppliers. From Supplier A, 150 alternators are purchased and \( 2 \% \) are defective. From Supplier B, 250 alternators are purchased and \( 3 \% \) are defective. Given that an alternator is defective, find the probability that it came from Supplier B.

4. Un concurso consiste en lanzar dos dados normales al aire. El participante gana solo si el producto de los números en las caras resulta un número primo. ¿Cuál es la probabilidad de perder en el concurso? A) \( \frac{29}{36} \) B) \( \frac{7}{36} \) C) \( \frac{30}{36} \) D) \( \frac{3}{36} \)

2) Бросается игральный кубик, у которого 2 грани красные, а 4 грани - желтые. Является ли равновозможными собыпия «выпала желтая грань» и «выпала красная грань»? 3) Случайный опы может закончиться одним из 4-х элементарных событий:

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