Probability Compound Events

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What is a compound event in probability?

Back

A compound event is an event that consists of two or more simple events. For example, flipping a coin and rolling a die simultaneously.

Front

What does it mean for events to be independent?

Back

Independent events are events where the outcome of one event does not affect the outcome of another. For example, flipping a coin and rolling a die.

Front

What does it mean for events to be dependent?

Back

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

Front

How do you calculate the probability of two independent events occurring?

Back

To find the probability of two independent events A and B occurring, multiply their probabilities: P(A and B) = P(A) * P(B).

Front

How do you calculate the probability of two dependent events occurring?

Back

To find the probability of two dependent events A and B occurring, multiply the probability of the first event by the conditional probability of the second event: P(A and B) = P(A) * P(B|A).

Front

What is the probability of flipping a coin and getting heads?

Back

The probability of flipping a coin and getting heads is 1/2.

Front

What is the range of probability values?

Back

Probability values range from 0 to 1, where 0 means the event will not occur and 1 means the event will certainly occur.

Front

If a jar contains 4 white chips, 5 purple chips, and 1 black chip, what is the probability of selecting a purple chip first?

Back

The probability of selecting a purple chip first is 5/10 or 1/2.

Front

If you spin a spinner with 4 equal sections (red, blue, green, yellow), what is the probability of landing on red?

Back

The probability of landing on red is 1/4.