Maya and Ryan are both doing exams tomorrow. - The probability that Maya will pass is \( 0.5(\mathrm{P} 1) \). - The probability that Ryan will pass is \( 0.4(\mathrm{P} 2) \). (a) Complete the tree diagram.

Probability involving one die or choosing from n distinct objects A bag contains seven tiles labeled \( B, C, D, E, F, G \), and \( H \). One tile will be randomly picked. What is the probability of picking a vowel? 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.

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.

In an aquarium, there are 7 large fish and 6 small fish. Half of the small fish are red. One fish is selected at random. Find the probability that it is a small, red fish. Write your answer as a fraction in simplest form.

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.