Probability: Tree Diagrams

What is the formula for calculating probability?

• Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)

• Probability = (Total Number of Possible Outcomes) / (Number of Favorable Outcomes)

• Probability = (Number of Outcomes) / (Number of Trials)

• Probability = (Number of Successful Trials) / (Total Number of Trials)

What is the probability of randomly picking a lunch with pizza, soda, and ice cream from 18 options?

• 1/18, since there is only one specific combination out of 18 possible choices.

• 1/6, as there are three items to choose from.

• 1/9, because there are two combinations that include pizza.

• 1/36, since the options are multiplied together.

What is a tree diagram?

• A visual representation that shows all possible outcomes of a series of events, branching out like a tree.

• A type of graph used to display data in a linear format.

• A diagram that represents hierarchical relationships in a structured format.

• A chart that illustrates the flow of a process or system.

What is the probability of rolling a 3 on a standard die?

• 1/4

• 1/6

• 1/3

• 1/2

How do you represent probabilities as fractions?

• Probabilities can be expressed as fractions where the numerator is the number of favorable outcomes and the denominator is the total number of outcomes.

• Probabilities are always represented as whole numbers without fractions.

• Probabilities can only be represented as percentages, not fractions.

• Probabilities are calculated by subtracting the total outcomes from the favorable outcomes.

If an ice cream shop has 3 types of cones and 31 flavors, how many different 1-scoop ice cream cones can a customer order?

• 31 different combinations

• 93 different combinations

• 63 different combinations

• 123 different combinations

What is a sample space in probability?

• A sample space is the set of all possible outcomes of a probability experiment.

• A sample space is a collection of events that cannot occur simultaneously.

• A sample space is the average of all outcomes in a probability experiment.

• A sample space is a method to calculate probabilities.

What is the probability of choosing a breakfast with a bagel and coffee from 8 options?

• 1/4

• 1/8

• 1/2

• 1/10

What is an example of a compound event?

• Flipping a coin and rolling a die

• Rolling two dice

• Flipping a coin twice

• Drawing a card from a deck

How do you calculate the total number of outcomes using a tree diagram?

• Add the number of choices at each level of the tree.

• Multiply the number of choices at each level of the tree.

• Count the total branches in the tree diagram.

• Subtract the choices from the total outcomes.