Weighted Tree Diagrams

Front

What is a weighted tree diagram?

Back

A weighted tree diagram is a graphical representation of outcomes where each branch is assigned a weight (or probability) that reflects the likelihood of that outcome occurring.

Front

How do you convert a decimal to a percent?

Back

To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign. For example, 0.02 becomes 2%.

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 (impossible) and 1 (certain).

Front

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

Back

To calculate the total number of outcomes in a tree diagram, multiply the number of outcomes at each branch. For example, if there are 3 tops, 2 pants, and 2 shoes, the total is 3 x 2 x 2 = 12.

Front

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

Back

The probability of rolling an even number (2, 4, or 6) on a standard die is 3 out of 6, or 1/2.

Front

How do you find the probability of two independent events occurring together?

Back

To find the probability of two independent events occurring together, multiply their individual probabilities. For example, P(A) x P(B).

Front

What is a sample space in probability?

Back

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

Front

How do you express a probability as a fraction?

Back

A probability can be expressed as a fraction by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What is the probability of drawing a red card from a standard deck of cards?

Back

The probability of drawing a red card from a standard deck of 52 cards is 26/52, which simplifies to 1/2.

Front

What does it mean for events to be independent in probability?

Back

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