1. A fair coin is tossed once. The theoretical probability of the coin landing on tails is ___.
2. To simulate a soccer player who scores on 50% of penalty kicks, we can flip a coin. If heads represents a scored goal, what does tails represent? The answer is a ___ kick.
3. A researcher wants to simulate whether a randomly selected person is left-handed or right-handed. A coin toss is NOT a good simulation for this. Why?
4. If you flip a fair coin 80 times to simulate an experiment, theoretically, you would expect to get heads ___ times.
5. A computer program uses '0' for tails and '1' for heads to simulate a coin flip. What is the theoretical probability that the program will produce a '1'?
6. A soccer player scores on 70% of penalty kicks. To simulate a kick, a spinner is made. The central angle for the "Score" sector is ___ degrees.
7. A spinner is designed to simulate an event. If the sector for "Success" has a central angle of $45^\circ$, what is the probability of success?
8. The probability that a student passes a specific test is $\frac{4}{5}$. On a spinner used to simulate the outcome, what is the central angle in degrees for the "Fail" sector?
9. A survey shows 25% of people prefer Brand A. On a spinner simulating this preference, what is the central angle for the sector representing Brand A?
10. In a town, 3 out of every 10 days are sunny. To simulate the weather, what would be the central angle in degrees for the "Sunny" sector on a spinner?