Mutually Exclusive Events (Leaving Cert Mathematics): Flashcards

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Mutually Exclusive Events
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Mutually exclusive events

Events that cannot occur at the same time

P(A or B)P(A \text{ or } B) for mutually exclusive AA, BB

P(A)+P(B)P(A) + P(B)

Condition to use P(A or B)=P(A)+P(B)P(A \text{ or } B) = P(A) + P(B)

AA and BB are mutually exclusive

P(rolling 1 on 6-sided die)P(\text{rolling 1 on 6-sided die})

16\frac{1}{6}

P(rolling 1 or 2 on 6-sided die)P(\text{rolling 1 or 2 on 6-sided die})

13\frac{1}{3}

Can mutually exclusive events occur together?

No, cannot occur at the same time

Calculate: P(1)+P(2)P(1) + P(2) for 6-sided die

16+16=13\frac{1}{6} + \frac{1}{6} = \frac{1}{3}

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