Describing the Intersection of Two Events

The video tutorial explains the concepts of events, complements, and intersections in probability using a die as an example. It covers how to identify events and their complements, and how to find intersections of two events. The tutorial also addresses common misunderstandings and provides practical examples to illustrate these concepts.

What is an event in the context of rolling a die?

• The probability of rolling a six

• The total number of possible outcomes

• A subset of the sample space

• A single outcome of rolling a die

Which of the following is the complement of rolling a number at most 4 on a die?

• Rolling a number less than 4

• Rolling a number greater than 4

• Rolling an even number

• Rolling a number that is 5 or 6

What is the intersection of rolling an odd number and a number at most four?

• 1 and 3

• 2 and 4

• 3 and 5

• 1 and 5

Why is the intersection of factors of 6 and prime numbers not 1, 2, 3, 5, and 6?

• Because 1 is not a prime number

• Because 6 is not a prime number

• Because 5 is not a factor of 6

• Because the intersection should only include common outcomes

In a survey, if no students prefer both sports and texting, what are these events called?

• Dependent events

• Disjoint or mutually exclusive events

• Complementary events

• Independent events

What numbers must you roll to move out of start in the game?

• At least 2 and a prime number

• At least 5 and an odd number

• At least 3 and a prime number

• At most 4 and an even number

Which of the following is an example of a disjoint event?

• Rolling a 2 and rolling an even number

• Rolling a 3 and rolling a prime number

• Rolling a 1 and rolling a 6

• Rolling a 4 and rolling a number at most 4