In this course we will use the "long-run proportion" definition of probability to determine and make sense of probabilities. To that end, here is some practice at re-phrasing probability statements using the long-run proportion definition.

**For each statement, be sure to identify: **

i. what random process is being repeated over and over again (what are the identical conditions) and

ii. what proportion is being calculated (e.g. proportion of wins).

**Your answer should not include the words “probability,” “chance,” "odds," or “likelihood" or any other synonyms of "probability." **

1. The probability of getting a red M&M candy is .2.

2. The probability of winning at a ‘daily number’ lottery game is 1/1000.

[*Hint*: Your answer should not include the number 1000! ]

3. There is a 30% chance of rain tomorrow.

4. Suppose 70% of the population of adult Americans want to retain the penny. *If I randomly select one person from this population, the probability this person wants to retain the penny is .70.*

5. Suppose I take a random sample of 100 people from the population of adult Americans (with 70% voting to retain the penny). *The probability that the sample proportion exceeds .80 is .015.*