Calculating Probabilities Using the Complement and Addition Rules

This video tutorial covers the calculation of probabilities using complement and addition rules. It explains disjoint and non-disjoint events, the concept of complements, and how to use Venn diagrams to visualize these rules. Practical examples, such as determining the probability of drawing certain shapes from a bag and analyzing holiday meal preferences, are provided to illustrate these concepts.

What is the addition rule formula for disjoint events?

• Probability of A union B equals probability of A plus probability of B

• Probability of A union B equals probability of A plus probability of B minus probability of their intersection

• Probability of A union B equals probability of A times probability of B

• Probability of A intersection B equals probability of A times probability of B

How is the complement rule for probabilities spelled?

• Complement with an I

• Complement with an E

• Compliment with an E

• Compliment with an I

What does the superscript C represent in probability notation?

• Complement

• Combination

• Constant

• Coefficient

In a Venn diagram, what does the area outside the circles represent?

• Probability of A and B

• Probability of A intersection B

• Probability of A or B

• Probability of A complement and B complement

What is the probability of drawing neither a triangle nor a blue shape from Ms. Rizzo's bag?

• 3/13

• 4/13

• 5/13

• 2/13

What is the probability that a family has neither cake nor pie at a holiday meal?

• 0.12

• 0.34

• 0.36

• 0.42

Which rule is used when the problem involves 'neither/nor' scenarios?

• Addition rule

• Multiplication rule

• Complement rule

• Subtraction rule