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1. My friends came down to visit and wanted to go to a football game. Tickets were sold out, but I planned on asking my student's in lab throughout the day to see if they had an extra ticket I could buy. I had 3 friends coming down, plus I needed one myself. Thus I needed 4 tickets. If I had 125 students to ask, and each one had a probability of a 5% chance of having an extra ticket, what is the probability that my friends' and I will get to go to the game?

2. There are 5 red chips and 3 blue chips in a bowl. The red chips are numbered 1,2,3,4,5 and the blue chips are numbered 1,2,3. If two chips are drawn at random and without replacement, what is the probability that these chips have either the same number or the same color?

3. Machines I,II, and III are all producing springs of the same length. machines I,II,III produce 1%,4%, and 2% defective springs. Of the total production of springs in the factory, Machine I produces 30%, Machine II produces 25%, and Machine III produces 45%. If one spring is selected at random from the total springs produced in a given day, determine the probability that its defective.

4. a) Both of us roll a dice. If I have a higher number than you, I win. If not, you win. What are the chances that I win? b) What if, on a tie, we roll again. Now what are my chances of winning?

5. Game costs 5$ to play. If you decide to play, you will pull one card randomly from a deck of cards. If it is an Ace, you win. Otherwise you lose your $5. How much money would you have to win (for pulling an Ace) to make the game fair? How much should the prize money be to make this game worthwhile (to play a large number of times)?