Sample Space and Tree Diagrams

Front

What is a sample space?

Back

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

Front

How do you calculate the total number of outcomes when rolling two dice?

Back

Multiply the number of outcomes for the first die (6) by the number of outcomes for the second die (6). Total outcomes = 6 x 6 = 36.

Front

What is the probability of an event?

Back

The probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Front

What does a tree diagram represent in probability?

Back

A tree diagram visually represents all possible outcomes of a probability experiment, showing the paths to each outcome.

Front

If you have 3 colors of marbles (red, blue, green), what is the sample space for drawing one marble?

Back

The sample space is {red, blue, green}.

Front

How many outcomes are there if you flip a coin twice?

Back

There are 4 outcomes: HH, HT, TH, TT.

Front

What is the formula for finding the number of combinations?

Back

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

Front

If you have 4 shirts and 3 pairs of pants, how many outfits can you create?

Back

You can create 12 outfits (4 shirts x 3 pants = 12 outfits).

Front

What is the sample space for choosing a fruit from an apple, banana, or orange?

Back

The sample space is {apple, banana, orange}.

Front

How do you find the probability of getting a specific outcome?

Back

Divide the number of ways to get that specific outcome by the total number of outcomes.