1.a. If you flip a coin 10 times, and it shows heads exactly 5 times, does this mean the coin must be fair?Explain.

b. If you flip a coin 100 times and it shows heads exactly 50 times, does this mean the coin must be fair?Explain.

c. Which case above (a or b) gives you more confidence that the coin is actually fair?

d. If you flip a coin 100 times, what is the probability that the coin will show heads exactly 50 times?

e. Do your responses to c. and d. above conflict with each other?Explain.