Question

A coin is tossed 200 times. Tails is observed 64 times. What is the long-run relative frequency of heads? Express the answer in decimal form.
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1 po

Answer 1

To find the long-run relative frequency of heads, we first need to determine how many times heads were observed.

Since the coin is tossed 200 times and tails was observed 64 times, we can find the number of heads observed by subtracting the number of tails from the total number of tosses:

\[
\text{Number of Heads} = \text{Total Tosses} - \text{Number of Tails} = 200 - 64 = 136
\]

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

\[
\text{Relative Frequency of Heads} = \frac{\text{Number of Heads}}{\text{Total Tosses}} = \frac{136}{200}
\]

Now, we simplify this fraction:

\[
\frac{136}{200} = 0.68
\]

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

\[
\boxed{0.68}
\]