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?

Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a face card (Jack, Queen, or King), North pays him \( \$ 4 \). If Kyd selects any other type of card, he pays North \( \$ 2 \). a) What is Kyd's expected value for this game? Round your answer to the nearest cent. \$ b) What is North's expected value for this game? Round your answer to the nearest cent. \$ c) Who has the advantage in this game? Select an answer - Calculator

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. \( P(A)=0.45, P(B)=0.45 \) and \( P(A \operatorname{and} B)=0.10 \). \( P(\operatorname{not} B \mid A)=\square \) Question Help: \( \square \) Video

A bag contains 2 gold marbles, 6 silver marbles, and 27 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win \( \$ 4 \). If it is silver, you win \( \$ 2 \). If it is black, you lose \( \$ 1 \). What is your expected value if you play this game?

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

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? 1.5 the team wins at least one match? [8]