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# Probability and Data Collection

1. Suppose you have 4 nickels, 6 dimes, and 4 quarters in your pocket. If you draw a coin randomly from your pocket, what is the probability that
a. You will draw a dime?
b. You will draw a nickel?
c. You will draw a quarter?

2. You are rolling a pair of dice, one red and one green. What is the probability of the following outcomes:
a. The sum of the two numbers you roll from the dice is 11.
b. The sum of the two numbers you roll is 6.
c. The sum of the two numbers you roll is 5.

3. For this question pretend you are drawing cards without replacement from the infamous "Iraq's Most Wanted" deck issued by the U.S. Military. If you are drawing from the full deck of 55 cards, what are the following probabilities:
a. You draw a card that is not Saddam Hussein
b. You draw three cards, which end up being Saddam Hussein and his two sons (whose pictures were also in the deck of cards.)
c. You draw 13 cards and not one of them is Saddam Hussein [note: this is a tough one, remember to show your work so you can get partial credit. Grading will be lenient on this one].

Select a type of quantitative data to collect from your own life. Some
examples of data to collect could be:
- How long it takes to drive to work each day.
- How many hours of TV shows you watch each day.
- Number of phone calls you get each day.
In a brief paper, describe the data you are going to collect. Start collecting data today so you have can have at least 10 observations, preferably more.
Note: you only have to choose one variable, and then collect 10 days worth of data on that one variable. For example, if your variable is how long it takes you to drive to work each day, simply record how long it takes you to get to work for 10 days.

#### Solution Summary

Complete, concise neat answers are provided for each of these 3 questions on data collection methods and probability in an attached file.

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