Math 105 Graded Homework 10 Name _________________________________
Due Wednesday, April 14. Show your work.
1. Three districts each elect one representative to the County Commission. There are 3
candidates in District 1, 5 candidates in District 2, and 6 candidates in District 3. How
many different County Commissions are possible?
2. Joan says that the probability that her son will get into the college of his choice is 0.6. Is
this a theoretical probability, an empirical probability, or a subjective probability?
3. A bag of candy contains 5 chocolates with nuts, 6 chocolates without nuts, 7 nonchocolate nut clusters, and 8 non-chocolate jellies without nuts. You draw a candy at
random. What is the probability that it contains chocolate or nuts?
4. You draw four cards at random from a standard deck. What is the probability that they
are all Queens? Give your answer either exactly or to 8 decimal places.
5. What is the probability that the Skunk River will not have a 100-year flood next year?
6. I throw two fair dice. What are the odds against their sum being 5?
7. From a standard deck I draw a card at random. What is the probability that it is a very
low-numbered card (2, 3, 4, or 5) or a Heart?