10. The Editor-in-Chief of the student newspaper was doing a final review of the articles submitted for the upcoming edition. 7 were health care articles. If he liked all the articles equally, and randomly selected 5 articles to go on the front cover, how many ways can he choose which ones? 11. Anna got a summer job at a movie theater cleaning the aisles after each film. This Sunday, 7 movies are scheduled to show. If Anita is randomly assigned to clean up after 4 movies, how many ways can Anna's theaters be assigned? 12. Finn performs 10 exercises over the span of a week. 5 of his exercises involve biking. If he randomly chose 6 exercises to do on Monday, what is the probability that exactly 4 of the chosen exercises involve biking?

Em uma urna estão 10 bolas azuis e 6 amarelas. Qual a probabilidade de retirar uma bola amarela desta urna?

Tickets for a raffle cost \( \$ 7 \). There were 800 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1000 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two décimal places. Expected Value \( =\$ \$ \)

Determine the probability that: 1.1 the team will win both matches? 1.2 the team loses both matches? 1.3 the team wins exactly one match? 1.4 the team wins at least one match? 1.5 the team loses the first match but wins the second?

D. 300 15. En una bolsa hay varias docenas de caramelos de 4 sabores distintos. El número mínimo de caramelos que deben extraerse de la bolsa, sin mirar su contenido, para tener la seguridad de haber sacado 5 del mismo sabor es: A. 10 B. 13 C. 17 D. 19

2. Marque la situación en la cuál no se suscita un experimen to determinístico. \( \begin{array}{lll}\text { I. Lanzar una dado en el cuál cada cara tiene seis puntos. }\end{array} \) \( \begin{array}{lll}\text { II Juegan la loteria. }\end{array} \)