Classwork \( 2 \sqrt{26} \) Find the number of possible outcomes in 1) A spinner can land on either red or blue. You spin eight times.

When you spin the spinner eight times, each spin has two possible outcomes, red or blue. To determine the total number of outcomes for eight spins, you can use the concept of exponentiation. Specifically, the formula is \( 2^n \), where \( n \) is the number of spins. So, with \( n = 8 \), the total number of possible outcomes is \( 2^8 = 256 \). That means after eight spins, you could land on various combinations of red and blue in 256 unique ways! If you think about it, this scenario is a fun example of binary choices, much like flipping a coin eight times. Each time you spin, you have a decision point, resulting in a "tree" of choices. Plus, if you keep track of the results, you might uncover interesting patterns in how many times red or blue appears, adding a little extra excitement to the spins!