A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of independent events occurring simultaneously.

Tres monedas cuyas caras son aquila y sol respactiva mente se lanza al aite al mismo ticmpo

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

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?

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? 1.4 the team wins at least one match? 1.5 the team loses the first match but wins the second?