A card is drawn at random from an ordinary deck of cards. Find the probabilities in parts (a)-(d). (a) The card is a diamond. (b) The card is not a diamond. (c) The card is a diamond or a heart. (d) The card is a diamond or a numbered card. (e) What are the odds in favor of drawing a diamond? (a) The probability that the card is a diamond is (Simplify your answer.) (b) The probability that the card is not a diamond is (Simplify your answer.) (c) The probability that the card is a diamond or a heart is \( \square \). (Simplify your answer.) (d) The probability that the card is a diamond or a numbered card is \( \square \). (Simplify your answer.) (e) The odds in favor of drawing a diamond are \( \square \) to \( \square \). (Simplify your answers.)

\( 1 \leftarrow \quad \begin{array}{l}\text { In a race in which five automobiles are entered and there are no ties, in how many ways can the } \\ \text { first three finishers come in? }\end{array} \)

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?

Question A small ice cream shop conducted a survey asking customers what their number one favorite flavor of ice cream is. The results showed that 51 favor vanilla, 14 fayor strawbery, 60 favor chocolate, and 11 favor other flavors. What is the probability that a randomly selected customer favors either vanila or strawberry? Enter your answer as a simplified fraction.

1. Según estadísticas la probabilidad de que el motor de un auto nuevo de cierta marca sufra algún desperfecto en el primer año de uso es de 0.02 , si se prueban tres automóviles de esta marca, encuentre el número esperado de autos que no sufren de algún desperfecto en el primer año y su desviación estándar. Resultados \( \mu=2.94 \) y \( \sigma=0.2425 \)