Compound Probability 2024

Front

What is compound probability?

Back

Compound probability refers to the probability of two or more events happening at the same time. It can be calculated using the multiplication rule for independent events or the addition rule for mutually exclusive events.

Front

Define sample space in probability.

Back

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

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

Front

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

Back

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

Front

What is a tree diagram in probability?

Back

A tree diagram is a visual representation that shows all possible outcomes of a probability experiment, branching out from each event.

Front

What is the formula for calculating the probability of getting a specific outcome from a sample space?

Back

The probability of a specific outcome is calculated as: P(outcome) = Number of favorable outcomes / Total number of outcomes in the sample space.

Front

If you flip a coin and roll a die, what is the sample space?

Back

The sample space consists of all combinations of coin flips and die rolls: {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}.

Front

What does it mean for events to be mutually exclusive?

Back

Mutually exclusive events are events that cannot occur at the same time. For example, rolling a 3 and rolling a 5 on a single die.

Front

How do you find the probability of mutually exclusive events?

Back

To find the probability of mutually exclusive events A or B occurring, add their probabilities: P(A or B) = P(A) + P(B).

Front

What is the probability of selecting a specific item from a group?

Back

The probability of selecting a specific item is calculated as: P(item) = Number of that item / Total number of items.