Final answer:
The probability that LeBron James makes 6 free throws in a row, given his 75% free throw percentage, is 0.18 when rounded to two decimal places.
Step-by-step explanation:
The question asks for the probability that LeBron James, with a 75% free throw shooting percentage, makes 6 free throws in a row. To find this probability, we raise his single-shot free throw percentage to the power of 6, since each shot is an independent event. The calculation is as follows:
Probability of making 6 free throws in a row = P(C)6 = 0.756 = 0.178.
Therefore, the probability that LeBron James makes 6 free throws in a row, rounded to two decimal places, is 0.18.