Unit 8 - Probability

Front

What is Probability?

Back

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

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of the relationships between different sets, showing how they overlap and the quantities in each region.

Front

Define Conditional Probability.

Back

Conditional Probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event A is calculated as P(A) = Number of favorable outcomes / Total number of outcomes.

Front

What is the probability of rolling a 3 on a standard six-sided die?

Back

P(rolling a 3) = 1/6.

Front

Explain Subjective Probability.

Back

Subjective Probability is based on personal judgment or experience rather than on exact calculations or empirical data.

Front

What is Empirical Probability?

Back

Empirical Probability is based on observed data and experiments, calculated as the number of times an event occurs divided by the total number of trials.

Front

What is Theoretical Probability?

Back

Theoretical Probability is based on the possible outcomes in a perfect world, calculated without conducting experiments.

Front

Calculate the probability of both parents being born on a weekend.

Back

P(both parents born on a weekend) = 2/7 * 2/7 = 4/49.

Front

What is the probability of spinning a spinner and landing on a specific number?

Back

The probability is calculated as the number of favorable outcomes (landing on that number) divided by the total number of outcomes (total sections on the spinner).