Final answer:
The probability of spinning a spinner and landing on a divisor of 25 followed by a number greater than 6 is calculated by multiplying the probabilities of each independent event. If the spinner has numbers from 1 to 10, the probability is 2/25.
Step-by-step explanation:
The student asks about the probability of two independent events occurring when spinning a spinner: landing on a divisor of 25 and then landing on a number greater than 6. To solve this, we need to calculate the probability of each event and then multiply them because the events are independent.
First, we need to identify the divisors of 25, which are 1 and 5. Assuming this is a standard numbered spinner ranging from 1 to at least 6, the probability of landing on a divisor of 25 is the number of divisors on the spinner divided by the total number of outcomes on the spinner. Without the exact number of outcomes, we cannot determine the probability, so let's assume the spinner has numbers from 1 to 10. Thus, P(divisor of 25) would be 2/10 or 1/5. Next, the numbers greater than 6 on the spinner are 7, 8, 9, and 10, giving us 4 possible outcomes that fulfill this condition. So, P(number greater than 6) is 4/10 or 2/5.
To find the total probability of both events, we multiply the probabilities: P(divisor of 25) × P(number greater than 6) = (1/5) × (2/5) = 2/25.