Question

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%

Answer 1

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

Thus,

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

Therefore,

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