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)=(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,