Final answer:
Tossing a coin twice and getting heads both times is a possible outcome of random chance, with a 25% probability. It is not indicative of a biased coin. Over a large number of tosses, the distribution of heads and tails will tend towards 50-50 due to the law of large numbers.
Step-by-step explanation:
The outcome of each coin toss is independent, meaning the result of one toss does not affect the result of another. Therefore, the chance of a coin landing on heads is always 50%. When you toss a coin twice, the probability of getting heads twice (HH) is 0.5 x 0.5 = 0.25, or 25%.
Likewise, the probability for heads followed by tails (HT), tails followed by heads (TH), and tails twice (TT) are all also 25%. Therefore, getting two heads in a row is not indicative of a flawed coin but a possible result of random chance.
Over a large number of tosses, the results tend to converge towards the expected 50-50 distribution due to the law of large numbers. However, in short sequences like two tosses, deviation from the expected outcome is common.
For instance, tossing a coin ten times could lead to a 70-30 distribution between heads and tails, but this still falls within the range of normal probability. As the number of tosses increases, the observed ratio of heads to tails will usually move closer to the expected 50% heads because of the law of large numbers.