[W5E] FLASHCARD - Independent & Dependent Events and Venn Diagrams

Front

What is the definition of 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(s).

Front

What is the definition of dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the occurrence of the other(s).

Front

What is the formula for calculating the probability of independent events occurring together?

Back

For independent events A and B, the probability is given by P(A and B) = P(A) * P(B).

Front

What is the formula for calculating the probability of dependent events?

Back

For dependent events A and B, the probability is given by P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given A has occurred.

Front

What does a Venn diagram represent in probability?

Back

A Venn diagram visually represents the relationships between different sets, showing how they overlap and the probabilities of various events.

Front

How do you calculate the probability of the union of two events A and B?

Back

The probability of the union of two events A and B is given by P(A or B) = P(A) + P(B) - P(A and B).

Front

What does the shaded region in a Venn diagram typically represent?

Back

The shaded region in a Venn diagram represents the outcomes that satisfy the condition specified, such as A and B or just A.

Front

What is the probability of getting heads when tossing a coin?

Back

Front

What is the probability of rolling a 7 on a standard number cube?

Back

The probability of rolling a 7 on a standard number cube (1-6) is 0, as there is no 7 on a standard die.

Front

What is the probability of drawing two cards from a deck without replacement?

Back

The probability of drawing two cards without replacement is calculated by multiplying the probabilities of each draw, considering the reduced total after the first draw.