Probability Concepts and Outcomes

Mr. Greenstein introduces probability concepts, including sample spaces, outcomes, and events. He explains how to use tree diagrams and tables to visualize possible outcomes, using examples like coin flips and dice rolls. The video covers calculating probability, emphasizing theoretical probability and its expression in fractions, decimals, and percentages. The lesson concludes with a discussion on favorable outcomes and the challenges of achieving them in large sample spaces.

What is an outcome in a probability experiment?

• The total number of trials

• A collection of multiple results

• A single result of an experiment

• The likelihood of an event

What is an event in probability?

• The likelihood of an event

• A single result of an experiment

• A collection of one or more outcomes

• The total number of trials

What is the sample space when flipping a coin twice?

• Heads, Tails, Edge

• Heads-Heads, Heads-Tails, Tails-Heads, Tails-Tails

• Heads, Tails

• Heads-Heads, Tails-Tails

How many outcomes are there in the sample space of flipping a coin twice?

• 2

• 4

• 3

• 5

What is the probability of getting heads on a single coin flip?

• 0.75

• 0.25

• 1

• 0.5

What does a tree diagram represent in probability?

• The likelihood of an event

• The total number of trials

• A visual representation of all possible outcomes

• The sum of all probabilities

How many possible outcomes are there when rolling two six-sided dice?

• 12

• 6

• 36

• 24

What is an event in the context of rolling two dice?

• Rolling a single die

• The sum of the dice being a specific number

• The total number of outcomes

• The likelihood of rolling a six

What is the probability of rolling a sum of 7 with two six-sided dice?

• 1/6

• 1/36

• 1/12

• 1/9

What is the probability of rolling a sum of 2 with two six-sided dice?

• 1/12

• 1/6

• 1/18

• 1/36