1. If you buy a very large bag of candies colored brown, yellow, green, blue, orange, and red, and you start eating them, how many candies would you expect to pick until you got a blue one? Explain your reasoning using what know about probability. you 2. What's the probability you'll get out of Jail in Monopoly without having to pay? In other words, what are the chances you'll roll doubles on two six-sided dice within three tries? 3. You may be familiar with promotional campaigns where a company's products are marked with a letter, under the bottle cap of a soft drink, for example, and you're supposed to spell something to win a prize. In these cases, do you think some game pieces are more common than others? Describe an experiment you could conduct to see if some game pieces are easier to get than others. 4. Say you're playing a game like the one described in topic 3. A soft drink company has a letter printed on each bottle cap and the object is to spell the words I bought a lot of bottles to spell this. You have all the letters you need except p. The company's disclaimer statement says for each bottle you buy there's a 1/200 chance of getting a p. On average, how many bottles would you expect most people to buy in order to get this letter? 5. Create your own question about an average = waiting-time situation, or describe a real one you've seen or participated in. Explain why it's an average = waiting-time situation, and invite other students to answer it. 6. Have you ever won anything in a game like the ones described in topics 3 and 4? Describe the game, and calculate the probability of winning.