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 combinations when rolling a die, spinning a spinner, and flipping a coin?

Back

Multiply the number of outcomes for each event: 6 (die) x 8 (spinner) x 2 (coin) = 96 combinations.

Front

What is a tree diagram?

Back

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

Front

If you have 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes, how many outfits can you create?

Back

80 outfits (5 x 8 x 2 = 80).

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes.

Front

What is experimental probability?

Back

Experimental probability is the likelihood of an event occurring based on actual results from experiments.

Front

How do you find the probability of an event?

Back

Probability = (Number of favorable outcomes) / (Total number of 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

What is the probability of pulling a green marble from a bag with 8 green marbles and 17 other marbles?

Back

8/25, since there are 8 favorable outcomes out of 25 total marbles.

Front

What does it mean if an event is certain?

Back

It means the probability of the event occurring is 1.