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?

In how many ways can the digits in the number \( 7,441,111 \) be arranged?

Trabajo 2, Prob. y Est. Considere mos el conjunto \( \{a, b, c, d, e\} \) a) Obtenga el númerode combinaciones combinaciones diferentes de los 50 objetos tomando \( O \) a la vez.

\begin{tabular}{l} Fundamental \\ \( K \quad \) An ice cream store sells 2 drinks, in 5 sizes, and 4 flavors. In how many ways can a customer order a drink? \( 0 \%, 0 \) of 5 points \\ \hline\end{tabular}

Question A small ice cream shop conducted a survey asking customers what their number one favorite flavor ice cream is. The results showed that 51 favor vanilla, 44 favor strawberry, 60 favor chocolate, and favor other flavors. What is the probability that a randomly selected customer favors either vanilla of strawberry? Enter your answer as a simplified fraction.

Q Question 3, 11.1.15 You are taking a multiple-choice test that has 4 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions?