In parts (a) and (b) consider the following two events and then determine whether the events are independent or dependent. (a) Event 1: Owning a cat, Event 2: Planting a flower garden Independent Dependent (b) Event 1: One randomly selected student gets an A on the biology exam, Event 2: One randomly selected student gets selected to speak at graduation Independent Dependent

Question When a coin is tossed three times, what is the probability that all three tosses are heads? The possible outcomes for the coin tosses are \( \{H H H, T T T, H T T, H H T, T H H, T T H, H T H, T H T\} \) - Express your answer as a simplified fraction.

An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and 5 photographers. What is the probability that the artist chosen will be a sculptor or a photographer? Write your answer as a fraction in simplest form.

Question A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: B, C, and D. What is the probability that you randomly guess and select the correct answer? Give your answer as a fraction.

A drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts, One shirt is chosen at random from the drawer. Find the probability that it is not a black Write your answer as a fraction in simplest form.

1. Em uma fábrica de potes de plastico, observou-se no controle de qualidade que 1 em cada 10 potes apresentava algum tipo de defeito. Qual a probabilidade de escolher um pote aleatoria- mente dessa fábrica e ele não possuir defeito algum?