Don and Grahame are both thinking of going to a school dance. The probability that Don will go is 0.6 (P1). - The probability that Grahame will go is 0.4 (P2). (a) Complete the tree diagram.

8. En una quiniela de futbol, ¿cuántas apues- tas diferentes es posible hacer con 13 par- tidos si el resultado que se marca para cada uno de ellos es \( \mathrm{L}= \) gana el equipo local, \( \mathrm{E}= \) empate y \( \mathrm{V}= \) gana el equipo visitante?

Resuelve el siguiente problema y elige la respuesta correcta. De una lista de 10 aplicantes se seleccionarán 3 para un empleo, ¿de cuántas maneräs se podrá selé \( { }_{10} P_{3}=\frac{10!}{(10-3)!3!}=110 \) b. \( { }_{10} P_{3}=\frac{10!}{(10-3)!}=720 \) c. \( C_{3}=\frac{10!}{(10-3)!3!}=120 \)

Question 70 The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs \( \$ 5 \). There is 1 winning ticket out of the 180 tickets sold. The winner gets a prize worth \( \$ 84 \). Round your answers to the nearest cent. What is the expected value (to you) of one raffle ticket? \$ Calculate the expected value (to you) if you purchase 12 raffle tickets. What is the expected value (to the PTO) of one raffle ticket? \$ \( \$ \)

This year, there are seven freshmen, eight sophomores, ten juniors, and seven seniors are eligible to be on a committee. In how many ways can a dance committee of 8 students be chosen? In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 senions. Determine the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. Write your answer in decimal form, rounded to the nearest thousandth. Answer:

4. Em uma escola, 20 estudantes participaram do grupo de recepşão e acolhida dos alunos. A Diretora da escola convocou esses estudantes para uma reunião e iria sortear um pre- sente a um desses alunos. Daniela participou da reunião em que faltaram 4 dos estudantes convocados. Qual a probabilidade de ela ser sorteada e receber o presente oferecido pela Diretora? \( \begin{array}{llll}\text { A) } \frac{1}{20} & \text { B) } \frac{4}{20} & \text { C) } \frac{16}{20} & \text { D) } \frac{1}{16}\end{array} \)