Probability Tree Diagrams

Front

What is a probability tree diagram?

Back

A visual representation used to illustrate the possible outcomes of a series of events, showing the probabilities of each outcome.

Front

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

Back

Multiply the number of outcomes at each stage of the tree.

Front

What is the probability of an event?

Back

The likelihood of an event occurring, expressed as a ratio of the number of favorable outcomes to the total number of possible outcomes.

Front

If you have 3 shirts and 4 pants, how many outfit combinations can you create?

Back

12 combinations (3 shirts x 4 pants).

Front

What is the formula for calculating the probability of independent events?

Back

P(A and B) = P(A) * P(B), where A and B are independent events.

Front

What is the probability of rolling a sum of 7 with two dice?

Back

There are 6 combinations that result in a sum of 7 out of 36 total combinations, so the probability is 6/36 or 1/6.

Front

What does it mean if two events are mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time.

Front

How do you find the probability of either event A or event B occurring?

Back

P(A or B) = P(A) + P(B) - P(A and B).

Front

What is the sample space in probability?

Back

The set of all possible outcomes of a probability experiment.

Front

How do you represent probabilities in a probability tree diagram?

Back

By labeling each branch with the probability of that outcome occurring.