Final answer:
The probability of getting tails on both flips of a coin is 1/4, since each flip is independent and has a probability of 1/2, and we multiply the probabilities of each flip to determine the combined probability.
Step-by-step explanation:
The student has asked the following question: 'You flip a coin twice. What is the probability of getting tails and then getting tails?' To calculate this, we need to remember that the chance of getting tails on a single flip of the coin is 50 percent, or 0.5. Since the flips are independent events, to find the probability of two independent events both happening, you multiply the probabilities of each event.
For the first flip, the probability of tails is 1/2. For the second flip, the probability of tails is again 1/2. To find the probability of getting tails on both flips, we multiply these probabilities together:
(1/2) × (1/2) = 1/4
Thus, the probability of getting tails and then tails again when you flip a coin twice is 1/4.