Question
Find the probability of the indicated event if \( P(E)=0.25 \) and \( P(F)=0.35 \). Find \( P(E \) or \( F) \) if \( P(E \) and \( F)=0.15 \). \( P(E \) or \( F)=\square \) (Simplify your answer.)
Ask by Hall Olson. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( P(E \text{ or } F) = 0.45 \)
Solution

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Bonus Knowledge
To find \( P(E \) or \( F) \), we can use the formula of probability for the union of two events: \[ P(E \text{ or } F) = P(E) + P(F) - P(E \text{ and } F) \] Plugging in the values provided: \[ P(E \text{ or } F) = P(E) + P(F) - P(E \text{ and } F) = 0.25 + 0.35 - 0.15 \] Calculating that gives: \[ P(E \text{ or } F) = 0.60 - 0.15 = 0.45 \] Thus, \( P(E \text{ or } F) = 0.45 \).