1. The table below shows the medal count of four countries at the 2012 Summer Olympics. Use the data to complete each statement.
Country
Gold Medals Total Medals
United States of America 46
104
Russian Federation
24
82
Australia
7
35
Canada
1
18
SOURCE: The London Organising Committee of the Olympic Games and Paralympic
Games Limited
a. The ratio of United States gold medals to Russia gold medals was
about to 1.
Your answer

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)