Probability and Sample Space Concepts

The video tutorial covers the concept of independent events and how to organize outcomes using tables, tree diagrams, and other methods. It provides examples involving a coin flip and a die roll, as well as a spinner and coin. The tutorial includes workbook questions and additional exercises to reinforce the understanding of organizing outcomes for independent events.

What is an independent event in probability?

• An event that has no effect on the outcome of another event

• An event that affects the outcome of another event

• An event that depends on previous outcomes

• An event that always results in the same outcome

Which of the following is NOT a method to organize outcomes for independent events?

• Table

• Random Guess

• Tree Diagram

• Spider Diagram

How many possible outcomes are there when flipping a coin and rolling a six-sided die?

• 6

• 8

• 12

• 16

What is the sample space for a coin flip and a six-sided die roll?

• {H, T, 1, 2, 3, 4, 5, 6}

• {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

• {1, 2, 3, 4, 5, 6}

• {H, T}

In a tree diagram, what does each branch represent?

• A possible outcome

• A certain event

• An impossible event

• A repeated event

What is a spider diagram used for?

• To organize outcomes in a circular manner

• To list all possible outcomes

• To calculate probabilities

• To show the relationship between different events

Which term describes two events where the outcome of one does not affect the other?

• Independent

• Mutually exclusive

• Complementary

• Dependent

How many sides does the die have in the spinner and die example?

• 10

• 8

• 6

• 4

What are the possible outcomes when flipping a coin and choosing a school supply?

• {H, T, P, E, C, R}

• {P, E, C, R}

• {HP, HE, HC, HR, TP, TE, TC, TR}

• {H, T, 1, 2, 3, 4}

What is the sample space for two pizza toppings?

• {Cheese, Peppers, Pepperoni, Onions, Mushrooms}

• {CC, CP, CO, CM, PP, PO, PM, OO, OM, MM}

• {C, P, O, M}

• {Cheese, Peppers, Onions, Mushrooms}