The solution says we can add probabilities only if the events are mutually exclusive.

Aren’t the events in the question mutually exclusive?! Why are they subtracting 0.06 from the 0.5?!

Can you share the question picture?

Have added the question. Ignore the rough work @vidishas99

Mutually exclusive means that when one occurs, the other does not occur

For example Heads and Tails are mutually exclusive

Raining in town and having pop quiz can happen simultaneously, thus they are not mutually exclusive events

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Doesn’t the phrase “the events occur independently of each other” mean it’s mutually exclusive?

No independent events and mutually exclusive events mean different when it comes to probability

This data class deals with it - Dedicated Data Session 3 - GregMat

oh okayy! thanks a ton @vidishas99