MATHS - Statistics - Probability and Venn Diagrams

The video tutorial covers set notation, Venn diagrams, and probability. It begins with an introduction to basic symbols and notations, such as the universal set and set A. The tutorial explains how to calculate the probability of being in or out of a set using Venn diagrams. It then expands to probabilities involving two sets, discussing intersection and union. The video concludes with practical examples, demonstrating how to apply these concepts to solve probability problems.

What does the symbol A' represent in set notation?

• The intersection of set A with another set

• The probability of set A

• The union of set A with another set

• Elements not in set A

In a Venn diagram, what does the shaded area of set A represent?

• The probability of not being in set A

• The intersection of set A with another set

• The union of set A and the universal set

• The elements in set A

If the universal set contains integers 1 to 10 and set A contains square numbers, what is the probability of not being in set A?

• 9/10

• 1/10

• 7/10

• 3/10

What does the intersection symbol represent in set theory?

• Elements in either of the sets

• Elements in both sets

• Elements not in any set

• The universal set

How does the union of two sets affect the possibility space in a Venn diagram?

• It reduces the possibility space

• It remains the same

• It eliminates the possibility space

• It increases the possibility space

In a survey of sports preferences, what is the probability of not being in set A and being in set B?

• 4/13

• 2/13

• 1/13

• 3/13

When calculating the probability of being in set A or not being in set B, what rule applies?

• Both rules must be followed

• Neither rule is followed

• Only one rule must be followed

• The rules are ignored