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 calculate the probability of an event using a tree diagram?

Back

To calculate the probability of an event using a tree diagram, multiply the probabilities along the branches leading to that event.

Front

What is the probability of drawing a blue counter from a bag containing 3 red and 7 blue counters?

Back

The probability is 7/10.

Front

How do you find the total number of outfit combinations from different clothing items?

Back

Multiply the number of options for each clothing item together. For example, 5 jeans x 8 t-shirts x 2 shoes = 80 outfits.

Front

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

Back

The probability is 3/6 or 1/2, since there are 3 even numbers (2, 4, 6) out of 6 possible outcomes.

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 x 100 = 2%.

Front

What is the total number of outcomes when rolling a die and flipping a coin?

Back

The total number of outcomes is 12 (6 outcomes from the die x 2 outcomes from the coin).

Front

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

Back

The probability of independent events occurring together is the product of their individual probabilities.

Front

How do you represent probabilities in a tree diagram?

Back

Probabilities are represented on the branches of the tree, showing the likelihood of each outcome.

Front

What does it mean for events to be independent?

Back

Independent events are those whose outcomes do not affect each other. The occurrence of one event does not change the probability of the other.