Events \( A \) and \( B \) are mutually exclusive. Suppose event \( A \) occurs with probability 0.01 and event \( B \) occurs with probability Compute the following. (If necessary, consult a list of formulas.) (a) Compute the probability that \( B \) occurs or \( A \) does not occur (or both). (b) Compute the probability that neither the event \( A \) nor the event \( B \) occurs. (

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?

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?

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