Question A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: B, C, and D. What is the probability that you randomly guess and select the correct answer? Give your answer as a fraction.

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

Next question 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? \( \$-4.53 \) Walculate the expected value (to you) if you purchase 12 raffle tickets. \( \$-54.36 \) What is the expected value (to the PTO) of one raffle ticket? \( \$ 4.53 \) \( \$ \) PTO sells all 180 raffle tickets, how much money can they expect to raise for the classroom supplies? Question Help: Video

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:

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