Probability

Front

What is 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 if an event has a probability of 0?

Back

It means the event is impossible and will not occur.

Front

What does it mean if an event has a probability of 1?

Back

It means the event is certain and will definitely occur.

Front

What is a sample space in probability?

Back

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

Front

What is a favorable outcome?

Back

A favorable outcome is an outcome that satisfies the conditions of the event we are interested in.

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

If a bag contains 5 red marbles and 4 blue marbles, what is the probability of drawing a red marble?

Back

P(Red) = 5/(5+4) = 5/9.

Front

What is the probability of rolling a sum of 7 with two dice?

Back

There are 6 favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total outcomes = 36. P(Sum of 7) = 6/36 = 1/6.

Front

What is conditional probability?

Back

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