Probability and Card Deck Concepts

This video introduces basic probability vocabulary and notation as used in STAT 200. It covers common examples involving dice and playing cards, explaining key terms like outcomes, events, and sample space. The video demonstrates how to calculate probabilities for rolling dice and drawing cards, and discusses mutually exclusive and independent events. It concludes with a preview of more advanced probability topics.

What is the total number of cards in a standard deck?

• 54

• 52

• 50

• 48

Which of the following is NOT a suit in a standard deck of cards?

• Hearts

• Stars

• Spades

• Diamonds

What is the term for the result of a single trial in probability?

• Outcome

• Sample Space

• Event

• Experiment

How many possible outcomes are there when rolling a single six-sided die?

• 4

• 5

• 7

• 6

What is the probability of rolling a six on a fair six-sided die?

• 1/3

• 1/2

• 1/4

• 1/6

If you roll a die, what is the probability of getting an even number?

• 1/6

• 1/4

• 1/3

• 1/2

What is the probability of drawing a spade from a standard deck of cards?

• 0.30

• 0.25

• 0.20

• 0.10

Which of the following events are mutually exclusive?

• Rolling an even and an odd number

• Drawing a king and a queen from a deck

• Drawing a heart and a spade from a deck

• Rolling a 2 and a 4 on a die

What does it mean for two events to be independent?

• They always happen together

• The outcome of one affects the other

• They cannot happen at the same time

• They have no impact on each other

If you roll a die twice, what is the relationship between the outcomes of the two rolls?

• Independent

• Dependent

• Mutually exclusive

• Identical