There are 20 buttons in a bag: 8 white buttons, 2 orange buttons, and 10 brown buttons. If one of these buttons is selected at random, what is the probability of selecting either a white or brown button?

Statistics \& Probability: Two number cubes are thrown one after the other. What is the probability that each number cube shows an even number?

Determine whether the given values can serve as the values of a probability distribution of the random variable \( X \) that can take on only the values 1,2 , and 3 . Explain your answer. 1. \( P(1)=0.08, P(2)=0.12, P(3)=1.03 \) 2. \( P(1)=\frac{10}{33}, P(2)=\frac{1}{3}, P(3)=\frac{12}{33} \) 3. \( P(1)=0.42, P(2)=0.31, P(3)=0.37 \) 4. \( P(1)=\frac{9}{14}, P(2)=\frac{4}{14}, P(3)=\frac{1}{14} \) 5. \( P(1)=0, P(2)=0.71, P(3)=0.39 \)

1. Andy, Luna, Tia, and Kian all volunteered participate in the pep rally. a. Make a list or tree diagram to show the sample space if two students will be picked to participate. b. What is the likelihood that Kian is picked first and Luna is picked second?

20. Du kastar två tärningar. Den ena tärningen är fyrsidig där sidorna är numrerade från 1 till 4 . Den andra tärningen är sexsidig där sidorna är numrerade från 1 till 6 . Visa att sannolikheten för att minst en av tärningarna visar en "trea" är \( 3 / 8 \).

1. Andy, Luna, Tia, and Kian all volunteered to participate in the pep rally. a. Make a list or tree diagram to show the sample space if two students will be picked to participate. Andy and Lunu Andy and Tiq Tih and Lunh Andy and Kian Kan anc Lumd b. What is the likelihood that Kian is picked first and Luna is picked second?