\(P(R|D) >P(R)\)
\(\frac{P(D|R) P(R)}{P(D|R) P(R) +P(D|W)(1-P(R))} > P(R)\)
\(P(D|R)>P(D|R)P(R) +P(D|W)(1-P(R))\)
\(P(D|R)(1-P(R) >P(D|W)(1-P(R))\)
\(P(D|R) >P(D|W)\)