Exploring Sample Spaces in Probability

This video tutorial explains how to visualize outcomes from probability events using sample space diagrams. It covers different ways to present sample spaces, such as lists and tables, and demonstrates how to calculate probabilities using dice. The video also discusses the difference between theoretical and experimental probability, emphasizing how repeated trials bring experimental results closer to theoretical expectations.

What is a sample space in probability?

• A formula to calculate outcomes

• A specific outcome of an event

• A diagram showing probabilities

• All possible outcomes of an event

How can a sample space be represented?

• Using complex equations

• Only in a table

• As a list, table, or tree diagram

• Only as a list

What is the sample space of a standard dice roll?

• 1 to 5

• 1 to 6

• Any number below 6

• 0 to 6

How many outcomes are there when choosing a main and a side at a restaurant?

• 12 outcomes

• 9 outcomes

• 3 outcomes

• 6 outcomes

What's the probability of rolling two odd numbers with two dice?

• 1/4

• 1/6

• 1/8

• 1/12

What's the probability that the sum of two dice rolls is greater than 7?

• 3/8

• 5/12

• 1/2

• 1/3

What does theoretical probability represent?

• The sum of all probabilities

• The probability of an impossible event

• Expected outcomes based on calculations

• Outcomes based on actual experiments

How does experimental probability compare to theoretical probability?

• It converges to theoretical with more trials

• It is unrelated to theoretical probability

• It is always lower

• It is always higher

What encourages the experimental probability to match the theoretical probability?

• More trials

• Fewer trials

• Changing the experiment

• Using different formulas

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