Tree Diagrams

Front

What is a tree diagram?

Back

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

Front

How do you calculate the total number of outfit combinations?

Back

Multiply the number of choices for each clothing item. For example, if you have 3 tops, 2 pants, and 2 shoes, the total combinations are 3 x 2 x 2 = 12 outfits.

Front

What is the probability of an event?

Back

Probability is the measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

If you roll a die, how many even numbers can you get?

Back

There are 3 even numbers on a die: 2, 4, and 6.

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 out of 6 total outcomes.

Front

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

Back

Multiply the probabilities of each event. For example, the probability of rolling an even number and flipping a head is (3/6) x (1/2) = 3/12.

Front

What is a combination?

Back

A combination is a selection of items where the order does not matter.

Front

How many total options can be made with 2 types of milk and 2 types of cookies?

Back

You can make 2 x 2 = 4 combinations of milk and cookies.

Front

What is the formula for calculating combinations?

Back

The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of items, and r is the number of items to choose.

Front

What does it mean to have 'favorable outcomes'?

Back

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