Topic 12: Probability of Independent and Dependent Events

Front

What are independent events in probability?

Back

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

Front

What are dependent events in probability?

Back

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

Front

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

Back

Front

What is the probability of rolling a 4 on a die?

Back

Front

What is the combined probability of independent events?

Back

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 probability of drawing the first card by the probability of drawing the second card after the first has been drawn.

Front

If a jar contains 5 red, 3 blue, and 2 green marbles, what is the probability of drawing two blue marbles without replacement?

Back

Front

What is the probability of drawing an ace followed by another ace without replacement from a standard deck of 52 cards?

Back

Front

What is the probability of getting a red followed by a blue on a spinner spun twice?

Back

The events are independent if the spinner has the same probabilities for each spin. The combined probability is the product of the individual probabilities.

Front

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

Back

The formula for dependent events is P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of B given that A has occurred.