Probability

Front

What is the definition of probability?

Back

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

Front

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

Back

P(Event) = Number of favorable outcomes / Total number of possible outcomes.

Front

What does it mean to find conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

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

Back

For independent events, multiply their probabilities: P(A and B) = P(A) * P(B).

Front

What is the difference between independent and dependent events?

Back

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

Front

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

Back

P(rolling a 3) = 1/6.

Front

How do you express a probability as a fraction?

Back

A probability can be expressed as a fraction by dividing the number of favorable outcomes by the total number of outcomes.

Front

What is the probability of selecting a red marble from a bag containing 5 red, 3 blue, and 2 green marbles?

Back

P(red) = 5/(5+3+2) = 5/10 = 1/2.

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, denoted as A'. P(A') = 1 - P(A).

Front

How do you convert a decimal probability to a percentage?

Back

Multiply the decimal by 100 to convert it to a percentage.