Probabilities are between 0 and 1. a probability of 0 means that an event occur or that it is for the event to occur. if it is unlikely that the event will occur, then the probability of that event is . if it is equally likely that the event will occur or that the event will not occur, then the probability is . if it is very likely that the event will occur, then the probability of that event is . if the event will definitely occur, then the probability of that event is . a sample space has probability when all of the possible outcomes of the sample space have probabilities. closer to zero equal to one impossible real numbers one-half will not closer to one uniform equal

You can find the constant of proportionality by finding the ratio of

The table below shows the approximate height of an object x seconds after the object was dropped. the function h(x)= -16x^2 +100 models the data in the table. for which value of x would this model make it the least sense to use? a. -2.75 b. 0.25 c. 1.75 d. 2.25

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.)