Your question is Conditional Probability With Coin Bias. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
If you flip a fair coin ten times and get ten heads, what is the probability that the eleventh flip is also a head? How would your answer change if you suspect the coin might be biased?
Explain the distinction between a known fair coin, a coin with a known bias, and a coin whose bias is uncertain. For the uncertain-bias case, use a Uniform Beta(1,1) prior as one possible model and state why the prior matters.