I have not studied probability theory for a long while so I forgot the intuition under the computaion problems. Now I'm facing this exercise:
Two people $A$ and $B$ flip a coin $10$ times. Let's call $H$ the event of getting a head and $T$ the event of getting a tail. Suppose the coin is fair, so $P(H)=P(T)=\frac12$.
The $A$ flips are: $HTHHTHTTTH$ and the $B$ flips are $HHHHHHHTTT$.
- Which of the two flips were more likely to happen? (which one had a greater probability).
- What is the probability of getting at least one Head in the $10$ flips?
I would appreciate some hints, or maybe titles of some good books concerning this kind of exercises. Thanks a lot.