Pregunta
A card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn. If \( E \) is the event in which a king is drawn, find the experimental probability \( P(E) \). \[ P(E)=\frac{1}{[?]} \]
Ask by Maxwell Nguyen. in the United States
Mar 09,2025
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\( P(E) = \frac{1}{13} \)
Solución
We have 13 repetitions of drawing a card, and in these repetitions, a king is drawn exactly 1 time. The experimental probability is calculated by
\[
P(E) = \frac{\text{number of times a king is drawn}}{\text{total number of experiments}}.
\]
Substituting the given values, we get
\[
P(E) = \frac{1}{13}.
\]
Thus,
\[
P(E) = \frac{1}{13}.
\]
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Simplifique esta solución Beyond the Answer
To find the experimental probability of drawing a king, we use the formula for experimental probability, which is: \[ P(E) = \frac{\text{Number of successful outcomes}}{\text{Total number of trials}} \] In this case, 1 king was drawn in 13 trials. Therefore, \[ P(E) = \frac{1}{13} \] So the experimental probability \( P(E) \) is \( \frac{1}{13} \).
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