1) Halta. las distintas permutaciones sin repetición que pueden formarse en cada caso.

Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a face card (Jack, Queen, or King), North pays him \( \$ 4 \). If Kyd selects any other type of card, he pays North \( \$ 2 \). a) What is Kyd's expected value for this game? Round your answer to the nearest cent. \$ b) What is North's expected value for this game? Round your answer to the nearest cent. \$ c) Who has the advantage in this game? Select an answer - Calculator

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 \( =\$ \$ \)

2. Marque la situación en la cuál no se suscita un experimen to determinístico. \( \begin{array}{lll}\text { I. Lanzar una dado en el cuál cada cara tiene seis puntos. }\end{array} \) \( \begin{array}{lll}\text { II Juegan la loteria. }\end{array} \)

In parts (a) and (b) consider the following two events and then determine whether the events are independent or dependent. (a) Event 1: Driving without a license plate, Event 2: Getting pulled over by a police officer Dependent Independent (b) Event 1: You get fired from your job, Event 2: You consistently are late Independent Dependent

A box coittains 18 red, 14 blue, and 10 green marbles. a) Two marbles are selected at random with replacement. Find the probability they are both red. b. Two marbles are selected at random without replacement. Find the probability that the first is blue and the second is green. c. Two marbles are selected at random without replacement. Find the probability that the first is blue and the second is yellow.