A single coin is tossed 300 times. Heads were observed 180 times. What is the long-run relative frequency of tails?

To find the long-run relative frequency of tails, we first need to calculate the number of times tails occurred in the 300 coin tosses.

Since heads occurred 180 times, tails must have occurred 300 - 180 = 120 times.

Therefore, the long-run relative frequency of tails is the number of tails observed divided by the total number of tosses:
Relative frequency of tails = Number of tails / Total number of tosses
Relative frequency of tails = 120 / 300 = 0.4

So, the long-run relative frequency of tails is 0.4 or 40%.