Solve the following math problem efficiently and clearly:

- For simple problems (2 steps or fewer):
Provide a concise solution with minimal explanation.

- For complex problems (3 steps or more):
Use this step-by-step format:

## Step 1: [Concise description]
[Brief explanation and calculations]

## Step 2: [Concise description]
[Brief explanation and calculations]

...

Regardless of the approach, always conclude with:

Therefore, the final answer is: $oxed{answer}$. I hope it is correct.

Where [answer] is just the final number or expression that solves the problem.

Problem: A game board is constructed by shading two of the regions formed by the altitudes of an equilateral triangle as shown. What is the probability that the tip of the spinner will come to rest in a shaded region? Express your answer as a common fraction. [asy]
import olympiad; size(100); defaultpen(linewidth(0.8));
pair A = (0,0), B = (1,0), C = (0.5,sqrt(3)/2);
pair D = (A + B)/2, E = (B + C)/2, F = (C + A)/2;
pair M = intersectionpoint(A--E,B--F);
draw(A--B--C--cycle);
draw(A--E^^B--F^^C--D);
filldraw(D--M--B--cycle,fillpen=gray(0.6));
filldraw(F--M--C--cycle,fillpen=gray(0.6));
draw(M--(0.4,0.5),EndArrow(size=10));
[/asy]
user