Hi. I would like to ask for clarification regarding the above-mentioned subject.
Step 5: Probability and Statistics
Course 3/5: Solving Complex Probability Problems
" Event A (it takes three flips or more for a coin to land heads up) ."
My understanding is that we’ll get our first head on the third flip.
I understand the concept of opposite events. We solved for the opposite events, the probability of getting a head on first and second flip, which gave us 0.75.
What I can’t understand is applying the concept of opposite set will be the final answer, which is 0.25.
0.25 is the probability that we won’t get any head on the first 2 flips, but for getting a head on the third flip, won’t we consider the probability of getting a head in the third flip (cause it may be a tail, right? idk)
So I’m multiplying 0.25 by 0.5.
I just want to understand fully why we stopped at the probability of not getting a head on the first 2 flips without considering the third one will be a head.
Thank you in advance.