Step 1: Centrifugal pumps.
These pumps use a rotating Impeller to move fluid through centrifugal force.
\[
P \Rightarrow 2
\]
Step 2: Reciprocating pumps.
They operate by the back-and-forth motion of a piston → Piston rod.
\[
Q \Rightarrow 1
\]
Step 3: Rotary pumps.
These use a rotating Gear (or similar element) for positive displacement pumping.
\[
R \Rightarrow 3
\]
Step 4: Impulse pumps.
They include the Hydraulic ram, which uses water hammer for pumping.
\[
S \Rightarrow 5
\]
\[
\boxed{P-2, \ Q-1, \ R-3, \ S-5}
\]
P and Q play chess frequently against each other. Of these matches, P has won 80% of the matches, drawn 15% of the matches, and lost 5% of the matches.
If they play 3 more matches, what is the probability of P winning exactly 2 of these 3 matches?