Dog Size Small (S) 15 Medium (Me) 14 12 10 Large (L) Total Couple (C) Female (F)

Question

Dog Size Small (S) 15 Medium (Me) 14 12 10 Large (L) Total Couple (C) Female (F) Male (Ma) Total 18 a. What is the probability that the owner of the dog is female or male? Provide your answer as a fraction or a value rounded to the nearest hundredth (i.e. two values after the decimal point). b. What is the probability that the owners of the dog are a couple or that the dog is small? Provide your answer as a fraction or a value rounded to the nearest hundredth (i.e, two values after the decimal point). c. What is the probability of randomly selecting a large dog given that the owner is a female? Provide your answer as a fraction or a value rounded to the nearest hundredth (i.e. two values after the decimal point). 5 6 8

Explanation / Answer

a) P(F or Ma) = P(F) + P(Ma) = 41/100 + 21/100 = 0.41 + 0.21 = 0.62
b) P(C or S) = P(C) + P(S) - P(C and S) = 38/100 + 31/100 - 15/100 = 0.38+0.31-0.15 = 0.54
c) P(L / F) = P(L and F) / P(F) = (18/100) / (41/100) = 0.18/0.41 = 0.44

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