Probability Tree Diagrams

Front

What is a probability tree diagram?

Back

A probability tree diagram is a visual representation used to illustrate the possible outcomes of a series of events, showing the probabilities associated with each outcome.

Front

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

Back

To calculate the total number of outcomes, multiply the number of outcomes for each event together.

Front

What is a sample space in probability?

Back

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

Front

If you roll a die and flip a coin, how many total outcomes are there?

Back

There are 12 total outcomes (6 outcomes from the die multiplied by 2 outcomes from the coin).

Front

What is the sample space when rolling a die?

Back

The sample space when rolling a die is {1, 2, 3, 4, 5, 6}.

Front

How many combinations are possible when rolling 1 die, spinning a spinner with 5 options, and flipping a coin?

Back

There are 60 combinations (6 outcomes from the die multiplied by 5 outcomes from the spinner multiplied by 2 outcomes from the coin).

Front

What are the possible outcomes when choosing between two types of milk and two types of cookies?

Back

The possible outcomes are: (White Milk, Chocolate Chip Cookies), (White Milk, Oatmeal Cookies), (Chocolate Milk, Chocolate Chip Cookies), (Chocolate Milk, Oatmeal Cookies).

Front

What is the formula for calculating combinations in probability?

Back

The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.

Front

What does it mean if two events are independent in probability?

Back

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Front

How can you represent dependent events in a probability tree diagram?

Back

Dependent events can be represented by adjusting the probabilities on the branches of the tree based on the outcomes of previous events.