The spinner is spun twice. What is the probability of spinning an even number on both spins? Express your answer as a simplified fraction.
To find the probability of spinning an even number on both spins, we first need to determine the total number of outcomes when spinning the spinner twice.
When spinning the spinner once, there are 6 equally likely outcomes (numbers 1 through 6). Therefore, the total number of outcomes when spinning the spinner twice is 6 * 6 = 36.
Next, we need to determine the number of successful outcomes, which in this case is spinning an even number on both spins.
The even numbers on the spinner are 2, 4, and 6. Therefore, there are 3 even numbers on the spinner.
The probability of spinning an even number on the first spin is 3/6 = 1/2.
The probability of spinning an even number on the second spin is also 3/6 = 1/2.
Therefore, the probability of spinning an even number on both spins is (1/2) * (1/2) = 1/4.
So, the probability of spinning an even number on both spins is 1/4.