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.

7. มีเหรียญที่แตกต่างกัน 3 เหรียญ และลูกเต๋าที่แตกต่างกัน 2 ลูก ถ้าโยนเหรียญและลูกเต๋าที่แตกต่างกัน ทั้งหมด จำนวนวิธีในการขึ้นหน้าของเหรียญและลูกเต๋าที่แตกต่างกันได้ทั้งหมดกี่วิธี เมื่อเหรียญขึ้นหน้า เหมือนกัน และลูกเต๋าขึ้นหน้าเหมือนกัน \( \begin{array}{ll}\text { ก. } 6 & \text { ข. } 12 \\ \text { ค. } 18 & \text { ง. } 48\end{array} \)

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:

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. \( C_{3}=\frac{10!}{(10-3)!3!}=120 \)

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? \( \begin{array}{llll}\text { A) } \frac{1}{20} & \text { B) } \frac{4}{20} & \text { C) } \frac{16}{20} & \text { D) } \frac{1}{16}\end{array} \)

If the area to the left of \( x \) in a normal distribution is 0.363 , what is the area to the right of \( x \) ? Answer: If the area to the right of \( x \) in a normal distribution is 0.363 , what is the area to the left of \( x \) ? Answer: