Independent Events (Leaving Cert Mathematics): Revision Notes

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Independent Events

Independent Events

Two events are independent if the occurrence of one does not affect the occurrence of the other.

If AA and BB are independent, then:

P(A and B)=P(A)×P(B)P(A \text{ and } B) = P(A) \times P(B)
Note

Example: The probability of flipping a coin and getting heads, and rolling a die and getting a 44:

P(Heads and 4)=P(Heads)×P(4)P(\text{Heads and 4}) = P(\text{Heads}) \times P(4) 12×16=112\frac{1}{2} \times \frac{1}{6} = \frac{1}{12}
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