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myopenmath.comSuppose that 14% of people own dogs. If you pick two people at random, what is the probability thatthey both own a dog?Give your answer as a decimal rounded to 4 places.CalculatorScratchwork Area

MyopenmathcomSuppose That 14 Of People Own Dogs If You Pick Two People At Random What Is The Probability Thatthey Both Own A DogGive Your Answer As A Decimal Ro class=

Answer :

Answer:

[tex]0.0196[/tex]

Explanation:

The statement "Suppose that 14% of people own dogs," implies that the probability of owning a dog is given as;

[tex]Pr(Dog\text{ Owner) =}\frac{14}{100}[/tex]

Therefore, if two people are selected randomly for owning dogs, they would have the same probability attached to them.

We can then combine both probabilities by using the "and" symbol. which implies "multiplication."

Workings

[tex]\begin{gathered} pr(2\text{ dog owners) =}\frac{14}{100}\times\frac{14}{100} \\ =\frac{196}{10000} \\ =0.0196 \end{gathered}[/tex]

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