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otez555 [7]
3 years ago
9

True or False

Mathematics
1 answer:
marishachu [46]3 years ago
4 0
True. A relation just pairs two sets. An object in the first set can relate to more than one in the second.
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A certain unsavory bar for poker-playing dogs is attended by only two types of dogs: "good dogs" and "bad dogs." For a randomly
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Answer: The required probability is 0.1923.

Step-by-step explanation:

Since we have given that

Probability that it's a good dog = 0.4

Probability that it's a bad dog = 1-0.4 = 0.6

Probability that the dog smokes given that its a bad dog = 0.7

Probability that it smokes given that its a good dog = 0.25

According to question, probability of smoking pipe would be

P(good).P(Smoking pipe|good)+P(bad).P(smoking pipe|bad)

0.4\times 0.25+0.6\times 0.7\\\\=0.1+0.42\\\\=0.52

So, Probability of getting a good dog given that it is smoking pipe is given by

\dfrac{P(good).P(smoking\ pipe|good)}{P(smoking\ pipe)}\\\\=\dfrac{0.4\times 0.25}{0.52}\\\\=\dfrac{0.1}{0.52}\\\\=0.1923

Hence, the required probability is 0.1923.

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