A spinner is separated into six equal sections, each with a different color. According to theoretical probability, how many times can we expect to land on each color, if we spin sixty times?

you are expected to land on each color ten times in 60 spins

Step-by-step explanation:

probability of landing any color on any given attempt is 1/6 or 0.1667, since all colors are different,  the probability for each is the same.

if you multiply the probability by 60 you will find the amount of time you will expect to land on each color

you are expected to land on each color ten times in 60 spins

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.