Final answer:
The probability of flipping the two-headed coin out of ten coins, one of which is two-headed and the other nine are fair, is 0.1, as the answer is determined by a simple fraction of the desired outcomes over the total number of outcomes, which is 1/10.
Step-by-step explanation:
The student has asked about the probability of flipping a specific type of coin out of a set of coins. Since there are ten coins in total and only one is a two-headed coin, the probability of selecting the two-headed coin is simply the ratio of the number of two-headed coins to the total number of coins. Therefore, there is 1 two-headed coin and 9 fair coins, making the total number of coins 10.
The mathematical determination of the probability is straightforward: Probability = (Number of desired outcomes) / (Total number of equally likely outcomes). In this case, the probability of flipping the two-headed coin is:
Probability = 1/10 = 0.1
So the correct answer is 1) 0.1, representing the chance of selecting the two-headed coin from the batch of ten coins.