Tree Diagrams & Compound Probability

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a sequence of events, branching out from a starting point.

Front

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

Back

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 is compound probability?

Back

Compound probability is the probability of two or more events happening at the same time, calculated by multiplying the probabilities of each individual event.

Front

If you roll a die and flip a coin, what is the probability of rolling a 3 and getting heads?

Back

The probability of rolling a 3 is 1/6 and getting heads is 1/2. So, the compound probability is (1/6) * (1/2) = 1/12.

Front

What are the possible outcomes of choosing a sandwich and a drink?

Back

If there are 3 sandwiches (T, C, P) and 2 drinks (M, W), the possible combinations are: TM, TW, CM, CW, PM, PW.

Front

What is the probability of selecting a specific outcome from a set of outcomes?

Back

The probability is calculated as the number of favorable outcomes divided by the total number of outcomes.

Front

In a box with 3 red pens, 2 green pens, and 1 blue pen, what is the probability of picking a red pen?

Back

The probability of picking a red pen is 3/6 or 1/2, since there are 3 red pens out of 6 total pens.

Front

What is the probability of picking a red pen, replacing it, and then picking a green pen?

Back

The probability is (3/6) * (2/6) = 1/6.

Front

How do you find the probability of independent events?

Back

For independent events, multiply the probabilities of each event occurring.

Front

What is the formula for calculating the probability of two events A and B occurring together?

Back

P(A and B) = P(A) * P(B) for independent events.