Exploring Venn Diagrams and Probability in IB Maths SL

This video tutorial explores Venn diagrams and their application in IB maths probability questions. It covers basic probability calculations, including the probability of events A and B, intersection and union of events, and complementary events. The tutorial also explains the combined events formula and delves into conditional probability with examples. The goal is to help students understand these concepts and apply them to various probability questions.

What is the universal set in a Venn diagram?

• The set of all possible outcomes

• The set of all events

• The set of all probabilities

• The set of all intersections

If the probability of event A is 0.5, what is the probability of not A?

• 0.3

• 0.5

• 0.4

• 0.6

What is the probability of event B if the probabilities inside the B circle are 0.4 and 0.2?

• 0.5

• 0.6

• 0.7

• 0.8

What does the symbol '∩' represent in probability?

• Complement

• Intersection

• Given that

• Union

How do you calculate the probability of A ∪ B?

• P(A) + P(B)

• P(A) * P(B)

• P(A) + P(B) - P(A ∩ B)

• P(A) - P(B)

Why do we subtract the intersection when calculating P(A ∪ B)?

• To exclude the union

• To simplify the calculation

• To include the intersection

• To avoid counting the intersection twice

What does the symbol '|' represent in conditional probability?

• Complement

• Intersection

• Given that

• Union

If P(A|B) is 1/3, what does this mean?

• The probability of A given B is 1/3

• The probability of A or B is 1/3

• The probability of A and B is 1/3

• The probability of B given A is 1/3

How do you calculate P(B|A)?

• P(A) / P(B)

• P(B) / P(A)

• P(A ∪ B) / P(A)

• P(A ∩ B) / P(A)

What is the denominator in the calculation of P(A|¬B)?

• P(A)

• P(A ∩ B)

• P(B)

• P(¬B)