Probability: Tree Diagrams

Front

What is a tree diagram?

Back

A tree diagram is a visual representation that shows all possible outcomes of a series of events, branching out like a tree.

Front

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

Back

Multiply the number of choices at each level of the tree.

Front

If an ice cream shop has 3 types of cones and 31 flavors, how many different 1-scoop ice cream cones can a customer order?

Back

93 different combinations (3 cones x 31 flavors = 93).

Front

What is the probability of an event?

Back

The probability of an event is a measure of how likely it is to occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of rolling a 3 on a standard die?

Back

1/6, since there is one favorable outcome (rolling a 3) out of 6 possible outcomes.

Front

How many total outcomes are there when rolling a die and flipping a coin?

Back

12 total outcomes (6 outcomes from the die x 2 outcomes from the coin = 12).

Front

What is the probability of getting mushrooms on a pizza if there are 10 toppings?

Back

2/10 or 1/5, if there are 2 mushroom options out of 10 total toppings.

Front

What is the probability of randomly picking a lunch with pizza, soda, and ice cream from 18 options?

Back

1/18, since there is only one specific combination out of 18 possible choices.

Front

What is the probability of choosing a breakfast with a bagel and coffee from 8 options?

Back

1/8, because there is only 1 outcome that includes both a bagel and coffee out of 8 possible choices.

Front

What does 'favorable outcomes' mean in probability?

Back

Favorable outcomes are the specific outcomes that satisfy the condition of the event we are interested in.