Final answer:
The probability of landing on 5 on the first spin and then on either 7 or 1 on the second spin is calculated by multiplying the individual probabilities of each event, resulting in a compound probability of 2/n².
Step-by-step explanation:
The question asks about the probability of two sequential independent events occurring with a spinner. To calculate the probability of the compound event, we multiply the probabilities of each individual event. The probability of landing on 5 on the first spin (assuming the spinner has numbers 1 through some number that includes 5 and 7) is 1/n, where n is the total number of outcomes on the spinner. Then, the probability that the spinner lands on either 7 or 1 on the second spin is 2/n, because there are two favorable outcomes: landing on 7 or landing on 1.
The overall probability of the two events occurring in sequence is the product of the two individual probabilities: (1/n) × (2/n) = 2/n².