Application and Thinking: Question 1: The group of students at St. Basil's is having a fundraiser to make awareness for lost teenage polar bears in the Yukon Territory. A ticket costs $12 and 500 tickets are available for sale. There are four different prizes, three of which are $1000 cash gifts, two $200 cash gift and five $20 gifts and 10 free tickets for next year's draw valued at this year's cost of a ticket. What is the expected value of each ticket from the students' point of view? Question 2: What is the probability of a six-sided dice landing on the number 2, four times in five rolls? Question 3: In a car manufacturing plant you looked at all 30 parts. When you inspected these parts, you found out that six parts are defective. What is the probability of when you go back and look at 15 parts, that four are defective parts? (Think if probability changes before deciding which formula to use, independent or dependent)