Compound Probability - Tree Diagram

Front

What is compound probability?

Back

Compound probability is the probability of two or more events happening at the same time. It can be calculated using tree diagrams, tables, or formulas.

Front

How do you calculate the total outcomes in a probability experiment using a tree diagram?

Back

To calculate total outcomes, multiply the number of outcomes for each event. For example, rolling a die (6 outcomes) and flipping a coin (2 outcomes) gives 6 x 2 = 12 total outcomes.

Front

What does a tree diagram represent in probability?

Back

A tree diagram visually represents all possible outcomes of a probability experiment, helping to organize and calculate probabilities.

Front

What is the sample space in probability?

Back

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

Front

If you roll a die and flip a coin, what is the probability of rolling an even number and flipping a head?

Back

The probability is 3/12, as there are 3 even numbers (2, 4, 6) and 12 total outcomes.

Front

What are the possible outcomes when flipping two coins?

Back

The possible outcomes are HH (both heads), HT (first head, second tail), TH (first tail, second head), and TT (both tails).

Front

How many total outfit combinations can you create with 3 tops, 2 pants, and 2 shoes?

Back

You can create 12 outfits by multiplying the number of tops (3) by the number of pants (2) and the number of shoes (2): 3 x 2 x 2 = 12.

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

What is an event in probability?

Back

An event is a specific outcome or a set of outcomes from a probability experiment.

Front

What is the difference between independent and dependent events?

Back

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