Provide an Appropriate Response ,
Make a Precise Statement About the Value Of

Multiple Choice

Provide an appropriate response.
-Given that a student correctly uses the following form of Bayes' theorem,
$\mathrm{P}\left(\mathrm{R}_{1} \mid \mathrm{T}\right) =\frac{\mathrm{P}\left(\mathrm{T} \mid \mathrm{R}_{1}\right) \mathrm{P}\left(\mathrm{R}_{1}\right) }{\mathrm{P}\left(\mathrm{T} \mid \mathrm{R}_{1}\right) \mathrm{P}\left(\mathrm{R}_{1}\right) +\mathrm{P}\left(\mathrm{T} \mid \mathrm{R}_{2}\right) \mathrm{P}\left(\mathrm{R}_{2}\right) +\mathrm{P}\left(\mathrm{T} \mid \mathrm{R}_{3}\right) \mathrm{P}\left(\mathrm{R}_{3}\right) }$ ,
Make a precise statement about the value of $P\left(R_{1} \cup R_{2} \cup R_{3}\right)$ .

A) $0<$ P $<1$
B) $\mathrm{P}=0$
C) $0 \leq \mathrm{P} \leq 1$
D) $\mathrm{P}=1$