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

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What does the intersection A∩BA \cap B represent?

Elements common to both AA and BB

What is the complement A′A' of an event AA?

The set of elements not in event AA

What is the formula for P(A∪B)P(A \cup B)?

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

Why is P(A∩B)P(A \cap B) subtracted in the union formula?

The intersection is counted twice

If P(A)=0.7P(A) = 0.7, what is P(A′)P(A')?

0.30.3

In a class of 40, 25 study Maths, 20 Physics, 10 both. What is P(M∪P)P(M \cup P)?

0.8750.875

In the class of 40, how many students study only Mathematics?

1515

In a survey of 100 people, how many like all three drinks (Tea, Coffee, Juice)?

55

In the survey, how many people like exactly one drink?

6969

How many intersection terms are subtracted in P(A∪B∪C)P(A \cup B \cup C)?

33

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