Quiz Review: Sample Space and Probability

What is a Tree Diagram?

• A drawing that shows the hierarchy of an organization.

• A drawing with branches that represents all possible outcomes of an event.

• A chart that displays the relationships between different variables.

• A map that outlines the steps in a process.

What is the probability of rolling a 15 with a pair of 6-sided dice?

• impossible

• 1/36

• 1/12

• 1/6

What is a random experiment?

• A process that leads to one of several possible outcomes, where the outcome cannot be predicted with certainty.

• A method to ensure a specific outcome in a controlled environment.

• An experiment that can be repeated with the same results every time.

• A procedure that guarantees a successful result without any variability.

What is the difference between independent and dependent events?

• Independent events are always more likely to occur than dependent events.

• Independent events do not affect each other's outcomes, while dependent events do.

• Dependent events are always mutually exclusive.

• Independent events can only occur in a sequence.

How many outcomes are there when tossing a coin and rolling a 6-sided die?

• 6

• 10

• 12

• 8

What does the Fundamental Counting Principle state?

• The Fundamental Counting Principle states that the possible outcomes in a sample space can be found by multiplying the numbers of possible outcomes from each stage of an event.

• The Fundamental Counting Principle states that the total number of outcomes is the sum of the outcomes from each stage of an event.

• The Fundamental Counting Principle states that outcomes can only be counted if they are distinct and non-repeating.

• The Fundamental Counting Principle states that the outcomes of an event are independent of each other.

How do you calculate the probability of an event?

• Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

• Probability = (Total number of possible outcomes) / (Number of unfavorable outcomes).

• Probability = (Number of outcomes) x (Total number of events).

• Probability = (Number of favorable outcomes) + (Total number of possible outcomes).

What is the complement of an event?

• The set of all outcomes in the sample space that are not included in the event.

• The event itself and all its outcomes.

• The total number of outcomes in the sample space.

• The probability of the event occurring.

What is the probability of getting heads when flipping a coin?

• 1/4

• 1/2

• 3/4

• 1/3

List the possible outcomes in the sample space for flipping a yellow and red color chip.

• yellow or red

• green or blue

• yellow and green

• red and blue