# Probability

1. A cooler contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale, and 20 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the cooler, determine the probability that the soda selected will be cola or orange.

2. Brain Teaser. A multiple- choice exam has four possible answers. For each correct answer you are awarded 5 points. For each incorrect answer 2 points are taken away from your score. For answers left blank no points are added or subtracted.

a) If you do not know the correct answer to a particular question, is it to your advantage to guess? Please explain your answer.

b)If you do not know the correct answer but can eliminate one possible choice, is it to your advantage to guess? Please explain your answer.

3. Answer the following question. If a wheel is spun and each section is equally likely to stop under the pointer, determine the probability that the pointer lands on a number greater than 6 given that the color is red. Hint. There are 3 red colors on the wheel with numbers 5,6,7. 2 green colors on the wheel with numbers 1,8. 5 purple colors on the wheel with numbers 2,4,9,11,12 and 2 brown colors on the wheel with numbers 3,10.

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#### Solution Summary

This solution is comprised of a detailed step-by-step calculation and explanation of the various problems related to Probability. This solution provides students with a clear perspective of the given problems.