Final answer:
The probability of flipping a coin and it landing on heads is 0.5, which means there's a 50-50 chance for heads. For two coin flips, we can determine the probability of different events by considering all possible outcomes.
Step-by-step explanation:
The probability of flipping a coin and it landing on heads is b) 0.5. This means that there is a 50-50 chance that the coin will land on heads. When flipping two fair coins, we consider the possible outcomes and calculate probabilities for different events.
- a. The event of getting at most one tail: The possible outcomes are HH, HT, TH, and TT (where H stands for Heads and T stands for Tails). To have at most one tail, the outcomes can be HH, HT, or TH. Therefore, the probability is 3 out of 4 or 0.75.
- b. The event of getting two faces that are the same: This happens with the outcomes HH or TT, making the probability 2 out of 4 or 0.5.
- c. The event of getting a head on the first flip followed by a head or tail on the second flip: This would be the outcomes HH or HT, with a probability of 2 out of 4 or 0.5.
If the experiment is scaled up, tossing a fair coin multiple times should approach the law of large numbers, where the relative frequency of getting heads will get closer to the theoretical probability of 0.5, as illustrated by Karl Pearson's experiment.