Concept explainers
In order to collect information for a student survey, a researcher classifies students according to eye color (blue, brown, green), gender (male, female), and class rank (freshman, sophomore). A folder for each classification is then made up (e.g., freshman/female/green eyes), hind the sample space for the folders using a tree diagram. If a folder is selected at random, find the probability that
(a) It includes students with blue eyes.
(b) It includes students who are female.
(c) It includes students who are male freshmen.
Try This One 2
Suppose the soda machine from Try This One 1 goes berserk and starts dispensing drinks randomly. If you want a diet cola, what is the probability that you’ll get one?
Try This One 1
A soda machine dispenses both Coke and Pepsi products, in both 12-ounce cans and 20-ounce bottles. For each brand, it has a regular cola, diet cola, and lemon-lime drink. Use a tree diagram to find the sample space for the experiment of choosing one drink at random from this machine.
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