Understanding Sample Space

In this video, Liz Nedan explains the concept of sample space in probability. She begins with a single dice, illustrating that the sample space consists of all possible outcomes: 1 through 6. She then moves on to a spinner with outcomes A, B, C, and D. Finally, she explores the more complex scenario of rolling two dice, demonstrating how to calculate the sample space by listing all possible combinations, resulting in 36 different outcomes. The video provides a clear understanding of how to determine sample spaces in different contexts.

What is the sample space when rolling a single dice?

• 1, 2, 3, 4, 5

• 1, 2, 3, 4, 5, 6

• 1, 2, 3, 4, 5, 6, 7

• 1, 2, 3, 4

How many faces does a standard dice have?

• Eight

• Six

• Four

• Ten

What are the possible outcomes when using a spinner with four sections labeled A, B, C, and D?

• A, B, C, D

• A, B, C

• A, B

• A, B, C, D, E

What is the sample space for a spinner with sections labeled A, B, C, and D?

• A, B, C, D

• A, B, C

• A, B, C, D, E

• A, B

What is the first step in setting up a table for rolling two dice?

• List outcomes for three dice

• List outcomes for both dice

• List outcomes for the second dice only

• List outcomes for the first dice only

When rolling two dice, what does the pair (1, 1) represent?

• Two on the first dice and one on the second

• One on the first dice and two on the second

• One on both dice

• Two on both dice

If the first dice shows a 3, what are the possible outcomes for the second dice?

• 2, 3, 4, 5

• 1, 2, 3, 4, 5, 6

• 3, 4, 5, 6

• 1, 2, 3

How many different combinations can be obtained when rolling two dice?

• 48

• 24

• 12

• 36

What is the mathematical operation used to find the total number of combinations when rolling two dice?

• Division

• Addition

• Subtraction

• Multiplication

What does the number 36 represent in the context of rolling two dice?

• The number of faces on a dice

• The number of possible outcomes for one dice

• The total number of combinations for two dice

• The number of sides on a spinner