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Expected value with calculated probabilities

Clumsy Carl is running a marathon. There are 33 dangerous areas on the course, and Clumsy Carl approximates that he has a 50%50\% chance of falling at each spot, independent of if he falls at the other spots.
The table below shows the total number of people that will see Carl fall based on how many times he falls.
What is the expected total number of people that will see Carl fall?
Round your answer to the nearest hundred.
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
people
Falls00112233
Total people00500500800800900900