Probability

Front

What is the formula for calculating the number of combinations when selecting items?

Back

The formula for combinations is C(n, r) = n! / (r!(n - r)!), where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.

Front

How do you calculate the total number of outcomes when flipping a coin and rolling a die?

Back

The total number of outcomes is the product of the outcomes of each event. For a coin (2 outcomes) and a die (6 outcomes), the total is 2 * 6 = 12.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

What is the probability of an event that is impossible?

Back

The probability of an event that is impossible is 0.

Front

How do you determine the probability of selecting a specific item from a group?

Back

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

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

If there are 5 red marbles and 3 blue marbles, what is the probability of picking a red marble?

Back

The probability of picking a red marble is 5/(5+3) = 5/8.

Front

What is a sample space in probability?

Back

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

Front

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

Back

The probability of multiple independent events occurring is the product of their individual probabilities.

Front

What is the expected value in probability?

Back

The expected value is the average of all possible outcomes, weighted by their probabilities.