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A coin is tossed 400 times and shows 216 heads.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A coin is tossed times and shows heads.
- What is the share of heads?
- For a fair coin, the share of heads in 400 tosses almost always lies between and . Does this result show that the coin is unfair?
Need a reminder? The key ideaShow
Relative frequency = successes divided by tries. It estimates the probability, and a long run settles close to the true value.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The share. .
Step 2. Compare. is inside the band from to , so a fair coin could easily give this.
Step 3. The answer. No. The result does not show that the coin is unfair. A fair coin gives 216 heads or more in about 7 runs in 100.
Answer: ; it does not show the coin is unfair.
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