Calculating Probabilities & Events (AQA A-Level Mathematics): Quizzes

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Calculating Probabilities & Events
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What is the formula for calculating the probability of an event EE?

P(E)=FavourableTotalP(E) = \frac{\text{Favourable}}{\text{Total}}

If P(E)=0.7P(E) = 0.7, what is P(E′)P(E'), the probability of the complement of EE?

0.30.3

Which statement describes mutually exclusive events?

They cannot occur at the same time

What is the probability of rolling a 1 or a 2 on a fair 6-sided die?

13\frac{1}{3}

If AA and BB are independent events, which formula is correct?

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

What is the formula for conditional probability P(A∣B)P(A|B)?

P(A and B)P(B)\frac{P(A \text{ and } B)}{P(B)}

What is the formula for P(A or B)P(A \text{ or } B) when events are not mutually exclusive?

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

What is the probability of drawing 2 Aces without replacement from a standard deck?

1221\frac{1}{221}

Rolling two 6-sided dice, what is the probability of getting a sum of 7?

16\frac{1}{6}

What is P(King∣Face Card)P(\text{King}|\text{Face Card}) in a standard deck?

13\frac{1}{3}

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