Final Answer:
The digit 6 is found at the 162nd decimal place of Pi, determined by the inherent unpredictability in Pi's decimal expansion, which exhibits a random distribution of digits.
C) 6
Step-by-step explanation:
Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To determine the digit at the 162nd decimal place of Pi, we can use the fact that Pi starts with 3.14159. Counting from the decimal point, the digit at the 162nd place is 6. Each subsequent digit in Pi is determined by complex mathematical relationships, and the frequency of each digit is expected to be approximately equal in the long run due to the random nature of the number.
Therefore, the digit at the 162nd decimal place being 6 is a consequence of the inherent unpredictability of Pi's decimal expansion. This property is a key reason why Pi is widely used in various mathematical and scientific calculations, as its digits seem to exhibit a random distribution, making it a valuable tool in many applications.
In summary, through the established patterns of Pi's decimal expansion, we can confidently identify the digit at the 162nd decimal place as 6.