To find the empirical probability of getting heads based on the results of your coin tosses, we can calculate it as follows:
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You tossed the coin 50 times and got 12 tails.
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The number of heads can be calculated as: \[ \text{Number of heads} = \text{Total tosses} - \text{Number of tails} = 50 - 12 = 38 \text{ heads} \]
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The empirical probability of getting heads is then given by: \[ P(\text{heads}) = \frac{\text{Number of heads}}{\text{Total tosses}} = \frac{38}{50} \]
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Simplifying \(\frac{38}{50}\): \[ P(\text{heads}) = \frac{19}{25} \]
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To express this probability in percent form, we calculate: \[ P(\text{heads}) \approx 0.76 \text{ (as a fraction)} \quad \text{or} \quad 76% \text{ (in percent)} \]
Thus, the empirical probability of getting heads is 76%.