Question

From 1999 to 2008, the United States Mint

produced commemorative quarters for each
state in the United States. Each year, quarters for
fi ve diff erent states were circulated to the public,
and many people collected the coins. Steven
wanted to collect these coins, so his uncle gave
him a handful of the state quarters. Steven made
this list of the coins that he was given.
1. Steven put all the coins in his pocket and
pulled one out at random.
a. What is the probability that he selected
a Texas quarter?
b. What is the probability that he selected a quarter minted in 2002?
c. Use the sample space to explain how you determined these probabilities.

Answer 1

a.
`(2)/(13)`

b.
`(3)/(13)`

c. See the step-by-step explanation.

Explanation:

A table given by OP

State Year

Tennessee 2002

Tennessee 2002

Ohio 2002

Alabama 2003

Maine 2003

Florida 2004

Florida 2004

Florida 2004

Texas 2004

Texas 2004

California 2005

California 2005

Kansas 2005

a. There are 2 Texas quarters and 13 coins in total, so the probability of selecting a Texas quarter at random is
`(2)/(13)`.

b. Analagously, the probability is
`(3)/(13)`, because there are 3 quarters minted in 2002.

c. See a and b.