Question
A card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 2 kings are drawn. If \( E \) is the event in which a king is drawn, find the experimental probability \( P(E) \). \[ P(E)=\frac{[?]}{[]} \]
Ask by Boone Murphy. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The experimental probability \( P(E) \) is \( \frac{2}{13} \).
Solution
1. The experimental probability \( P(E) \) is given by the formula:
\[
P(E) = \frac{\text{Number of successes}}{\text{Total number of trials}}
\]
2. In this experiment, a "success" is drawing a king. It is given that 2 kings were drawn in 13 trials.
3. Substituting these values into the formula:
\[
P(E) = \frac{2}{13}
\]
Thus, the experimental probability \( P(E) \) is:
\[
P(E)=\frac{2}{13}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To find the experimental probability \( P(E) \), you need to divide the number of times the event occurs by the total number of trials. In this case, a king was drawn 2 times in 13 repetitions. Therefore, the experimental probability can be calculated as follows: \[ P(E) = \frac{\text{Number of kings drawn}}{\text{Total number of draws}} = \frac{2}{13} \] So, the answer can be filled in as: \[ P(E)=\frac{2}{13} \]
