Final answer:
The probability that a randomly selected OLED display was made by Samsung, P(S), is 23.2 percent, which as a decimal is 0.232 when rounded to three decimal places.
Step-by-step explanation:
To find the probability that a randomly selected OLED display was made by Samsung, denoted as P(S), we use the given percentage of OLED displays shipped by Samsung. According to the information provided, Samsung ships 23.2 percent of the world's OLED displays.
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the event S that an OLED display is made by Samsung is the favorable outcome. Since percentages are equivalent to a ratio out of 100, we convert the percentage to a decimal form to express the probability.
To convert a percentage to a decimal, we divide by 100. Thus, the probability P(S) is 23.2/100, which equals 0.232. However, we are asked to round the answer to three decimal places. As there is no digit after 2 in the third decimal place, it remains as it is. So, P(S) rounded to three decimal places is 0.232.