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Give a reason why they think that the coin may be biased - Leaving Cert Mathematics - Question (a) - 2013
Question (a)
Give a reason why they think that the coin may be biased. Katie tossed a coin 200 times and threw 109 heads. Joe tossed the same coin 400 times and threw 238 heads.... show full transcript
Worked Solution & Example Answer:Give a reason why they think that the coin may be biased - Leaving Cert Mathematics - Question (a) - 2013
Step 1
A reason why they think the coin may be biased
Answer
One possible reason they think the coin may be biased is that the fraction of heads obtained by each person is significantly different from the expected probability of 0.5 for a fair coin.
- Katie obtained 109 heads out of 200 tosses, giving a proportion of heads: rac{109}{200} = 0.545.
- Joe obtained 238 heads out of 400 tosses, yielding a proportion of: rac{238}{400} = 0.595.
- Lucy obtained 291 heads out of 500 tosses, leading to a proportion of: rac{291}{500} = 0.582.
These results suggest that the coin may not be fair, as the observed probabilities are consistently higher than 0.5.