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.

Tags

CCSS.7.SP.C.8B

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.

Tags

CCSS.7.SP.C.8B

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.

Tags

CCSS.7.SP.C.7A

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.

Tags

CCSS.7.SP.C.7A

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.

Tags

CCSS.7.SP.C.7A

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.

Tags

CCSS.7.SP.C.5

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.