Both spinners shown are divided into congruent sections. Edward spins both spinners, records the results, and repeats the process. Edward spins both spinners 100 times. What is a reasonable prediction for the number of times that both spinners will land on a prime number?
A reasonable prediction for the number of times that both spinners will land on a prime number can be calculated by determining the probability of landing on a prime number on each spinner and then multiplying the probabilities.
Let's assume both spinners have 5 prime numbers out of the total 10 numbers on each spinner. So the probability of landing on a prime number on each spinner is 5/10 = 0.5.
Therefore, the probability of both spinners landing on a prime number is 0.5 * 0.5 = 0.25.
If Edward spins both spinners 100 times, we can predict that approximately 25 times both spinners will land on a prime number.