single coin is tossed 300 times. Heads were observed 180 times. What is the long-run relative frequency of tails? Express the answer in decimal form.

The long-run relative frequency of tails can be calculated by subtracting the number of times heads occurred from the total number of tosses, and then dividing by the total number of tosses.

Total number of tosses = 300
Number of heads observed = 180

Number of tails = Total number of tosses - Number of heads observed
Number of tails = 300 - 180
Number of tails = 120

Long-run relative frequency of tails = Number of tails / Total number of tosses
Long-run relative frequency of tails = 120 / 300
Long-run relative frequency of tails = 0.4

Therefore, the long-run relative frequency of tails in decimal form is 0.4.