Four clowns practiced juggling bowling pins yesterday. The table below shows the number of bowling pins that each clown dropped and the number of minutes that each clown juggled.

Clown's Name Bowling Pins Dropped Minutes Juggled
Bowling Bob 3 9
Juggling Jack 10 50
Greg the Great 15 60
The Amazing Al 6 12

Who had the lowest ratio of bowling pins dropped to minutes juggled?

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.)