A 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.!
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To find the relative frequency of tails in the long run, we need to subtract the frequency of heads from the total number of tosses and then divide by the total number of tosses.
Total number of tosses = 300
Frequency of heads = 180
Frequency of tails = 300 - 180 = 120
Relative frequency of tails = Frequency of tails / Total number of tosses
Relative frequency of tails = 120 / 300 = 0.4
Therefore, the long-run relative frequency of tails is 0.4 or 40%.
Apologies for the error in the previous calculation. Let's correct it:
Total number of tosses = 300
Frequency of heads = 180
To find the frequency of tails:
Frequency of tails = Total number of tosses - Frequency of heads
Frequency of tails = 300 - 180 = 120
Relative frequency of tails = Frequency of tails / Total number of tosses
Relative frequency of tails = 120 / 300 = 0.4
Therefore, the long-run relative frequency of tails is 0.4 or 40%.