A stove consisting of 1 large, 2 medium, and 1 small compartment with 4 ignition buttons, each of which activates a different compartment, is shown in the figure below. Since the directions next to the buttons have been erased, it is not known which button activates which compartment. Accordingly, when all compartments are closed and two buttons are randomly pressed, what is the probability that one of the medium compartments and the small compartment will activate? A) $\frac{1}{2}$ B) $\frac{1}{3}$ C) $\frac{2}{3}$ D) $\frac{1}{4}$ E) $\frac{1}{5}$
A stove consisting of 1 large, 2 medium, and 1 small compartment with 4 ignition buttons, each of which activates a different compartment, is shown in the figure below.
Since the directions next to the buttons have been erased, it is not known which button activates which compartment.
Accordingly, when all compartments are closed and two buttons are randomly pressed, what is the probability that one of the medium compartments and the small compartment will activate?
A) $\frac{1}{2}$
B) $\frac{1}{3}$
C) $\frac{2}{3}$
D) $\frac{1}{4}$
E) $\frac{1}{5}$