Further Probability (A Level only) (AQA A-Level Mathematics): Quizzes

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What is the probability of rolling a 4 on a 6-sided die?

16\frac{1}{6}

If P(A)=0.3P(A) = 0.3, what is P(A′)P(A')?

0.70.7

If P(A)=0.5P(A) = 0.5, P(B)=0.4P(B) = 0.4, P(A∩B)=0.2P(A \cap B) = 0.2, find P(A∪B)P(A \cup B).

0.70.7

For independent events AA and BB, which formula is correct?

P(A∩B)=P(A)×P(B)P(A \cap B) = P(A) \times P(B)

For dependent events, P(A∩B)P(A \cap B) equals what?

P(A)×P(B∣A)P(A) \times P(B \mid A)

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

P(A∩B)P(B)\frac{P(A \cap B)}{P(B)}

If P(B1)=0.4P(B_1) = 0.4, P(A∣B1)=0.3P(A \mid B_1) = 0.3, P(B2)=0.6P(B_2) = 0.6, P(A∣B2)=0.5P(A \mid B_2) = 0.5, find P(A)P(A).

0.420.42

What is the probability of at least one 6 in two die rolls?

1136\frac{11}{36}

What does Bayes' theorem calculate?

P(Bi∣A)P(B_i \mid A) from P(A∣Bi)P(A \mid B_i)

For total probability, events B1,B2,…,BnB_1, B_2, \ldots, B_n must be what?

Mutually exclusive and exhaustive

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