Review the Conjecture
4. Answer the following questions about the amount of water used by showers and
leaking faucets. (4 polnts: 2 points for each answer)
A. Time to review the accuracy of your conjecture and that of your classmate. Is
your classmate's conjecture true - that the amount of water wasted per day is
equivalent to the amount of water used by 1 shower? Is your conjecture about the
scale of water waste in 1 day (cup, gallon, or shower) in question 3 true?

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.)