Probability that all of them are of same variety

Reference no: EM13116607

A friend of mine is giving a dinner party. His current wine supply includes 12 bottles of zinfandel, 10 of merlot, and 8 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?

(b) If 6 bottles of wine are to be randomly selected from the 30 for serving, how many ways are there to do this?

(d) If 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen?

(e) If 6 bottles are randomly selected, what is the probability that all of them are the same variety?

Reference no: EM13116607

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