Probability of Events and Rules

This video tutorial explains how to determine the probability of events using the addition rule. It covers the concepts of disjoint and non-disjoint events, providing examples to illustrate each. The tutorial includes practical word problems, such as selecting candies or shapes, to demonstrate the application of the addition rule. It concludes with a holiday meal example, showing how to calculate the probability of having cake or pie using the addition rule.

What is the addition rule used for in probability?

• To calculate the probability of an event not happening

• To find the probability of two events occurring together

• To calculate the probability of a single event

• To determine the probability of either of two events occurring

Which of the following is an example of disjoint events?

• Having a cat and a dog

• Rolling a die and getting an even number or a number greater than 3

• Being born in winter or summer

• Having a red car and a blue car

In the candy example, what is the probability of selecting a peppermint or caramel?

• 1/5

• 2/5

• 3/5

• 1/2

What is the key difference between disjoint and non-disjoint events?

• Disjoint events can occur at the same time, non-disjoint cannot

• Non-disjoint events can occur at the same time, disjoint cannot

• Disjoint events are always independent, non-disjoint are not

• Non-disjoint events are always independent, disjoint are not

In the shapes example, what is the probability of drawing a triangle or a blue shape?

• 11/13

• 8/13

• 4/13

• 7/13

What does the 'or' in probability signify?

• The probability of neither event occurring

• The probability of either event occurring

• The probability of both events occurring

• The probability of one event occurring twice

In the family meal example, what is the probability of having cake or pie?

• 0.64

• 0.12

• 0.34

• 0.42

Why are cake and pie considered non-disjoint events in the family meal example?

• Because they are mutually exclusive

• Because a family can have both at the same meal

• Because they are always served together

• Because they cannot be served together

What is the formula for the probability of non-disjoint events?

• P(A and B) = P(A) * P(B)

• P(A or B) = P(A) + P(B) - P(A and B)

• P(A or B) = P(A) + P(B)

• P(A or B) = P(A) - P(B)

What is the symbol for the intersection of two events?

• A minus sign

• A capital U

• An upside-down U

• A plus sign