Probability Formulae (Edexcel A-Level Mathematics): Quizzes

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What is the probability of rolling a 44 on a standard 66-sided die?

16\frac{1}{6}

If P(A)=0.3P(A) = 0.3, what is P(A′)P(A'), the probability that event AA does not occur?

0.70.7

Which formula gives P(A∪B)P(A \cup B), the probability that AA or BB occurs?

P(A)+P(B)−P(A∩B)P(A) + P(B) - P(A \cap B)

If P(A)=0.5P(A) = 0.5, P(B)=0.4P(B) = 0.4, and P(A∩B)=0.2P(A \cap B) = 0.2, what is P(A∪B)P(A \cup B)?

0.70.7

For independent events AA and BB, which formula gives P(A∩B)P(A \cap B)?

P(A)×P(B)P(A) \times P(B)

What is P(heads and 4)P(\text{heads and 4}) when flipping a coin and rolling a die?

112\frac{1}{12}

What is the formula for conditional probability P(A∣B)P(A|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|B_1) = 0.3, P(B2)=0.6P(B_2) = 0.6, P(A∣B2)=0.5P(A|B_2) = 0.5, find P(A)P(A).

0.420.42

What is P(at least one 6)P(\text{at least one 6}) when rolling a die twice?

1136\frac{11}{36}

Which formula represents Bayes' Theorem?

P(Bi)×P(A∣Bi)P(A)\frac{P(B_i) \times P(A|B_i)}{P(A)}

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