Independent and Dependent Events

Front

What are independent events in probability?

Back

Independent events are two or more events where the occurrence of one event does not affect the occurrence of the other. For example, rolling a die and flipping a coin are independent events.

Front

What are dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other. For example, drawing two cards from a deck without replacement is a dependent event.

Front

What is the probability of rolling an even number on a number cube?

Back

The probability of rolling an even number (2, 4, or 6) on a number cube is 3/6 or 1/2.

Front

What is the probability of rolling an odd number on a number cube?

Back

The probability of rolling an odd number (1, 3, or 5) on a number cube is 3/6 or 1/2.

Front

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

Back

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

Front

What is the sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment. For example, when tossing two coins, the sample space is {HH, HT, TH, TT}.

Front

What is the probability of getting at most one head when tossing two coins?

Back

The probability of getting at most one head when tossing two coins is 3/4.

Front

What is the probability of drawing a king from a standard deck of cards?

Back

The probability of drawing a king from a standard deck of 52 cards is 4/52 or 1/13.

Front

What is the probability of drawing a heart from a standard deck of cards?

Back

The probability of drawing a heart from a standard deck of 52 cards is 13/52 or 1/4.

Front

What is the probability of drawing two red marbles from a bag without replacement?

Back

If there are 6 red marbles in a bag of 15 total marbles, the probability of drawing two red marbles without replacement is (6/15) * (5/14) = 1/7.