\( E \) and \( F \) are mutually exclusive events. \( P(E)=0.91 ; P(F)=0.42 \). Find \( P(E \mid F) \) \( 0.333 x \) Question Help: \( \square \) Message instructor Submit Question

Since \( E \) and \( F \) are mutually exclusive events, they cannot occur at the same time. This means that the probability of \( E \) occurring given that \( F \) has occurred, denoted as \( P(E \mid F) \), is 0. In simpler terms, if \( F \) happens, \( E \) can't happen at all. So, the answer is: \( P(E \mid F) = 0 \). Now, here's something fun: Imagine a party where Person E and Person F are having such a disagreement that if one shows up, the other feigns illness to avoid being in the same room. If you already see Person F at the party, it's simply impossible for Person E to be there too! Also, if you ever find yourself confused with mutually exclusive events, just remember their main characteristic: they can’t overlap! A real-world application of this concept could be in sports events where a team can either win or lose a match, but can’t do both simultaneously. This clarity can help you make better predictions in sports betting or when analyzing game outcomes!