Beaches that exhibit high erosion rates relative to the surrounding beach are defined as erosional hot spots. The U.S. Army Corps of Engineers is conducting a study of beach hot spots. Through an online questionnaire, data are collected on six beach hot spots. The data are listed in the next table.

a. Suppose you record the nearshore bar condition of each beach hot spot. Give the sample space for this experiment.
b. Find the probabilities of the sample points in the sample space you defined in part a.
c. What is the probability that a beach hot spot has either a planar or single, shore-parallel nearshore bar condition?
d. Now suppose you record the beach condition of each beach hot spot. Give the sample space for this experiment.
e. Find the probabilities of the sample points in the sample space you defined in part d.
f. What is the probability that the condition of the beach at a particular beach hot spot is not flat?

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Beach Hot Spot Miami Beach Condition Nearshore Long-Term Erosion Rate Condition (miles/year) Bar No dunes/t Single, shore 4 13 Bluff/scarp Single, shore 35 Beach, FL Coney Island, No dunesat Other parallel NY Surfside, CA parallel Single dune Planar Monmouth Not estimated Beach, NI Ocean City, NI Spring Lake, NJ Single dune Not observed Other Planar Not estimated 14