Basic Probability

Front

What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1.

Front

What does it mean for events to be independent?

Back

Independent events are those whose outcomes do not affect each other. For example, flipping a coin and rolling a die.

Front

What does it mean for events to be dependent?

Back

Dependent events are those where the outcome of one event affects the outcome of another. For example, drawing cards from a deck without replacement.

Front

How do you convert a decimal to a percent?

Back

To convert a decimal to a percent, multiply the decimal by 100 and add a percent sign. For example, 0.02 becomes 2%.

Front

What is the theoretical probability of an event?

Back

Theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

If a bag contains 3 red marbles, 2 blue marbles, and 4 yellow marbles, what is the total number of marbles?

Back

Total marbles = 3 (red) + 2 (blue) + 4 (yellow) = 9 marbles.

Front

What is the probability of drawing a red marble from a bag with 3 red, 2 blue, and 4 yellow marbles?

Back

The probability of drawing a red marble is 3/9 or 1/3.

Front

If I flip a coin 10 times, what is the expected number of heads?

Back

The expected number of heads is 5, since the probability of getting heads is 1/2.

Front

What is a sample space in probability?

Back

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

Front

What is an event in probability?

Back

An event is a specific outcome or a set of outcomes from a probability experiment.