Flip a fair coin 491 times. What is the probability that tail occurs even number of times and why?
A six-sided die is thrown 10 times. What is the probability for that you get an odd number of sixes?!
My attempt for the first question is:
The second one:
Are these answers correct? If the first question is correct who can I prove it, because it is hard to calculate I want to prove instead in sample way.