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Mutually Exclusive Events Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Mutually Exclusive Events
Two events that cannot happen at the same time.
Example of Mutually Exclusive Events
Flipping a coin: getting heads and tails are mutually exclusive.
Probability of Mutually Exclusive Events
If A and B are mutually exclusive, P(A and B) = 0.
Key Property of Mutually Exclusive Events
The events have no outcomes in common.
Formula for Mutually Exclusive Events
P(A or B) = P(A) + P(B) for mutually exclusive events.
Non-Mutually Exclusive Events
Events that can happen at the same time (e.g., drawing a red card that is also a king).
Venn Diagram for Mutually Exclusive Events
The circles do not overlap because the events have no outcomes in common.
Mutually Exclusive Events in Dice
Rolling a 3 and rolling a 5 on a single die are mutually exclusive.
Mutually Exclusive Events in Probability Questions
Look for events that cannot occur together to identify mutually exclusive events.
Real-Life Example of Mutually Exclusive Events
Choosing a single dessert: you cannot choose both ice cream and cake at the same time.
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