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 outfits possible with multiple clothing items?

Back

Multiply the number of options for each clothing item. For example, with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, the total outfits = 5 * 8 * 2 = 80.

Front

What is the probability of rolling an odd number on a single die?

Back

The probability of rolling an odd number (1, 3, or 5) on a single die is 3/6 or 1/2.

Front

If two dice are rolled, what is the probability that both show odd numbers?

Back

The probability that both dice show odd numbers is (1/2) * (1/2) = 1/4.

Front

What are the possible outcomes when rolling two dice?

Back

The possible outcomes are 36 combinations, ranging from (1,1) to (6,6).

Front

How do you represent combinations of different categories in a tree diagram?

Back

Each branch of the tree represents a choice from one category, leading to branches of the next category, illustrating all possible combinations.

Front

What is the probability of randomly choosing a specific combination from a set?

Back

The probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. For example, choosing a bagel and coffee from 8 breakfast options gives a probability of 1/8.

Front

What is the total number of combinations for 2 colors and 2 sizes of handbags?

Back

The total combinations = 2 colors * 2 sizes = 4 combinations.

Front

What does each branch in a probability tree diagram represent?

Back

Each branch represents a possible outcome of an event, with the length of the branch often indicating the probability of that outcome.

Front

How can you use a probability tree to solve real-world problems?

Back

A probability tree can help visualize and calculate the likelihood of various outcomes in scenarios like games, surveys, or decision-making processes.