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

Answer 1

To find the long-run relative frequency of tails after tossing a coin 300 times, we first determine the number of tails observed.

Since the coin was tossed 300 times and heads were observed 180 times, we can calculate the number of tails as follows:

\[ \text{Number of tails} = \text{Total tosses} - \text{Number of heads} = 300 - 180 = 120 \]

Next, we calculate the long-run relative frequency of tails by dividing the number of tails by the total number of tosses:

\[ \text{Relative frequency of tails} = \frac{\text{Number of tails}}{\text{Total tosses}} = \frac{120}{300} \]

Now, we can simplify this fraction:

\[ \frac{120}{300} = \frac{12}{30} = \frac{2}{5} = 0.4 \]

Thus, the long-run relative frequency of tails is:

\[ \boxed{0.4} \]