Type the correct answer in the box. use numerals instead of words.
jack and his friends are going hiking next week. there are four trails they can hike: grayson pass, giant's ridge. three summits, and elderberry.
to make a decision, they use a spinner divided into four colors. they spin it 60 times to check the fairness of their model and record the results
in this table.
color times result occurs
green
6
i blue
24
yellow
red
- 21
the relative frequency of the spinner landing on green is
the relative frequency of the spinner landing on blue is
the relative frequency of the spinner landing on yellow is
the relative frequency of the spinner landing on red is
reset
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not the right 1

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.)