Question
Find the probability of the indicated event if \( P(E)=0.25 \) and \( P(F)=0.50 \). Find \( P(E \) or \( F) \) if \( P(E \) and \( F)=0.05 \). \( P(E \) or \( F)=\square \) (Simplify your answer.)
Ask by Davey Klein. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( P(E \) or \( F) = 0.70 \)
Solution
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The Deep Dive
To find \( P(E \) or \( F) \), we can use the formula: \[ P(E \text{ or } F) = P(E) + P(F) - P(E \text{ and } F) \] Given: - \( P(E) = 0.25 \) - \( P(F) = 0.50 \) - \( P(E \text{ and } F) = 0.05 \) Now, plug in the values: \[ P(E \text{ or } F) = 0.25 + 0.50 - 0.05 \] Calculating the right side: \[ P(E \text{ or } F) = 0.75 - 0.05 = 0.70 \] Thus, \[ P(E \text{ or } F) = 0.70 \]
