Question
Find \( P\left(E^{\prime}\right) \) when \( P(E)=52.5 \% \). \( P\left(E^{\prime}\right)= \)
Ask by Grant Sherman. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
P(E′) = 47.5%
Solution
To calculate the probability of the complement of event E (denoted as E′), subtract the probability of E from 100%.
Given P(E) = 52.5%, we have:
P(E′) = 100% − 52.5% = 47.5%.
Thus, P(E′) = 47.5%.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To find \( P(E') \), which is the probability of the complement of event \( E \), you can use the formula: \[ P(E') = 1 - P(E) \] Given that \( P(E) = 52.5\% \), we first convert the percentage to a decimal: \[ P(E) = 0.525 \] Now, we can calculate \( P(E') \): \[ P(E') = 1 - 0.525 = 0.475 \] To express this as a percentage: \[ P(E') = 0.475 \times 100\% = 47.5\% \] Thus, \( P(E') = 47.5\% \).
