Combined Events (Leaving Cert Mathematics): Quizzes

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Combined Events
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What is the formula for P(A or B)P(A \text{ or } B)?

P(A)+P(B)−P(A and B)P(A) + P(B) - P(A \text{ and } B)

What does P(A or B)P(A \text{ or } B) represent?

Either event AA or event BB (or both)

Why do we subtract P(A and B)P(A \text{ and } B) in the union formula?

To avoid counting the overlap twice

What is P(Heart)P(\text{Heart}) from a standard deck?

14\frac{1}{4}

What is P(Ace)P(\text{Ace}) from a standard deck?

113\frac{1}{13}

What is P(Ace of Hearts)P(\text{Ace of Hearts}) from a deck?

152\frac{1}{52}

What is P(Heart or Ace)P(\text{Heart or Ace}) from a deck?

413\frac{4}{13}

What is the formula for P(A and B)P(A \text{ and } B) when events are dependent?

P(A)×P(B∣A)P(A) \times P(B \mid A)

What does P(A and B)P(A \text{ and } B) represent?

Both event AA and event BB occur

When drawing cards without replacement, how are events affected?

Events become dependent

After drawing one Ace, what is P(2nd Ace)P(\text{2nd Ace})?

117\frac{1}{17}

What is P(Two Aces)P(\text{Two Aces}) drawn without replacement?

1221\frac{1}{221}

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