SOLUTION: 15% of the people in the US own a cat,20%own a dog, and 5% own both. Given that you owen a dog what is the probability that you also own a cat? Choose one of the following. A) .3

Algebra ->  Probability-and-statistics -> SOLUTION: 15% of the people in the US own a cat,20%own a dog, and 5% own both. Given that you owen a dog what is the probability that you also own a cat? Choose one of the following. A) .3      Log On


   

Question 1198158: 15% of the people in the US own a cat,20%own a dog, and 5% own both. Given that you owen a dog what is the probability that you also own a cat?
Choose one of the following.
A) .33
B) .25
C) .05
D) .10
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
15% =0.15 own a cat
20%=0.20 own a dog
5%=0.05 own both
Event A = have a dog
Event B = have a cat
Event C = have both

the probability of event+B is:
+0.05%2F0.20=+0.25
or
25%




Answer by ikleyn(52806) About Me  (Show Source):
You can put this solution on YOUR website!
.
15% of the people in the US own a cat,20%own a dog, and 5% own both.
Given that you owen a dog what is the probability that you also own a cat?
Choose one of the following.
A) .33
B) .25
C) .05
D) .10
~~~~~~~~~~~~~~~ 

    P(own a cat | own a dog) = P%28own_a_cat_AND_a_dog%29%2FP%28own_a_dog%29 = 0.05%2F0.2 = 1%2F4 = 0.25 = 25%.    ANSWER

Solved.

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Do not accept any other answer and ignore the post by @MathLover1,
since it is incorrect.


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She just re-wrote her post after seeing my solution.