Final answer:
The probability of a fair spinner landing on a number less than five is 0.7 or 70% for each individual spin based on the assumption that the spinner is like a fair six-sided die. Therefore, the correct choice for the student's question is 3) 0.7. This answer pertains to each individual spin rather than all seven spins collectively.
Step-by-step explanation:
The student's question is about the probability of a fair spinner landing on a number less than five when spun seven times. This problem can be solved by looking at the individual probability of this event occurring on a single spin, and then using this information to understand the behavior over multiple spins. Firstly, we need to determine the probability of landing on a number less than five in a single spin.
If we assume that the spinner is like a fair six-sided die with the numbers {1, 2, 3, 4, 5, 6} on its faces, then numbers less than five are {1, 2, 3, 4}. There are four favorable outcomes out of six possible results, so the probability, P, of landing on a number less than five in one spin is P = 4/6 = 2/3. When we convert this fraction to a decimal, it becomes approximately 0.6667, which rounds to 0.7 when considering the given options. Therefore, the expected probability is 0.7 or 70% for each individual spin, but note that the question asks for seven spins, although the answer is the same for each individual spin. Option 3) 0.7 is the correct choice.