The following table shows the classification of all 51 dogs from an animal shelter by whether the dogs lived mostly outdoors or mostly indoors before coming to the shelter and whether they tested positive or negative for a certain skin condition. Positive Negative Total Mostly Outdoors 10 20 30 Mostly Indoors Total 8 13 21 18 33 51 One dog from the animal shelter will be selected at random. Based on the table, which of the following statements is correct? (A) The probability of selecting a dog that tested positive is greater than 0.5. (B) The probability of selecting a dog that lived mostly indoors is greater than 0.5. The probability of selecting a dog that tested positive is greater than the probability of selecting a dog that (C) tested negative. (D) (E) The probability of selecting a dog that tested positive given that the dog lived mostly outdoors is less than the probability of selecting a dog that tested positive given that the dog lived mostly indoors. The probability of selecting a dog that lived mostly outdoors given that the dog tested positive is greater than the probability of selecting a dog that lived mostly outdoors given that the dog tested negative.
The following table shows the classification of all 51 dogs from an animal shelter by whether the dogs lived mostly outdoors or mostly indoors before coming to the shelter and whether they tested positive or negative for a certain skin condition. Positive Negative Total Mostly Outdoors 10 20 30 Mostly Indoors Total 8 13 21 18 33 51 One dog from the animal shelter will be selected at random. Based on the table, which of the following statements is correct? (A) The probability of selecting a dog that tested positive is greater than 0.5. (B) The probability of selecting a dog that lived mostly indoors is greater than 0.5. The probability of selecting a dog that tested positive is greater than the probability of selecting a dog that (C) tested negative. (D) (E) The probability of selecting a dog that tested positive given that the dog lived mostly outdoors is less than the probability of selecting a dog that tested positive given that the dog lived mostly indoors. The probability of selecting a dog that lived mostly outdoors given that the dog tested positive is greater than the probability of selecting a dog that lived mostly outdoors given that the dog tested negative.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
Transcribed Image Text:The following table shows the classification of all 51 dogs from an animal shelter by whether the dogs lived mostly
outdoors or mostly indoors before coming to the shelter and whether they tested positive or negative for a certain
skin condition.
Positive
Negative
Total
Mostly Outdoors
10
20
30
Mostly Indoors
Total
8
13
21
18
33
51
One dog from the animal shelter will be selected at random. Based on the table, which of the following statements is
correct?
(A) The probability of selecting a dog that tested positive is greater than 0.5.
(B) The probability of selecting a dog that lived mostly indoors is greater than 0.5.
The probability of selecting a dog that tested positive is greater than the probability of selecting a dog that
(C) tested negative.
(D)
(E)
The probability of selecting a dog that tested positive given that the dog lived mostly outdoors is less than the
probability of selecting a dog that tested positive given that the dog lived mostly indoors.
The probability of selecting a dog that lived mostly outdoors given that the dog tested positive is greater than
the probability of selecting a dog that lived mostly outdoors given that the dog tested negative.
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