Step 1 :Let $S$ be the event that a randomly selected OLED display was made by Samsung.
Step 2 :Currently Samsung ships 20.9 percent of the OLED displays in the world.
Step 3 :The question is asking for the probability that a randomly selected OLED display was made by Samsung.
Step 4 :This is given by the percentage of OLED displays that Samsung ships, which is 20.9 percent.
Step 5 :To convert this percentage to a probability, we divide by 100.
Step 6 :So, $P(S) = \frac{20.9}{100} = 0.209$
Step 7 :Final Answer: $P(S) = \boxed{0.209}$