Aspinner is divided into 10 equal sections numbered 1 through 10. if the arrow is spun twice, what is the probability the first number will be even and the second number will be odd?

To get this answer, if there are both 5 even and odd numbers it's a 50/50 chance. (theoretically) so, if it is spun twice we have 4 options
Even then Odd
Odd then Even
Odd then Odd
Even then Even
if Even then Odd has a one out of four chance, that is 25 percent.