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Given a student has a dog, what is the probability that a student also has a cat?62.9%57.1%41.8%36.3%

Given a student has a dog, what is the probability that a student also has a cat?62.9%57.1%41.8%36.3%-example-1
User Knittl
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1 Answer

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The given problem is a conditional probability problem.

Probability that a student has a cat given that he/she has a dog is represented as:


Pr(C|D)=(Pr(CnD))/(Pr(D))
\begin{gathered} \text{CnD}=16 \\ \text{Sample space=28+16+24}=68 \end{gathered}

Thus,


Pr(\text{CnD)}=(16)/(68)=0.2353
\begin{gathered} Number\text{ of dogs only=28} \\ Pr(D)=(28)/(68)=0.4117 \end{gathered}

Therefore,


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User Sam Mikes
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