Independent & Dependent Events

Front

What are independent events in probability?

Back

Independent events are events where the outcome of one event does not affect the outcome 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 outcome of one event affects the outcome of another. For example, drawing two cards from a deck without replacement is a dependent event.

Front

What is the probability of drawing a yellow marble twice from a bag with replacement?

Back

Front

If 40% of shoes are white, what is the probability that none of three chosen shoes are white?

Back

Front

What is the probability of winning a basketball after winning an iPad in a prize draw?

Back

The probability is dependent. If one iPad is won, the total number of prizes decreases, affecting the probability of winning a basketball.

Front

What is the probability of rolling a 2, flipping tails, and then rolling a 5?

Back

Front

What is the probability of rolling a 1 after rolling a 4 with two dice?

Back

Front

Define probability in the context of independent events.

Back

Probability is a measure of the likelihood of an event occurring. For independent events, the probability of both events occurring is the product of their individual probabilities.

Front

Define probability in the context of dependent events.

Back

In dependent events, the probability of the second event is affected by the outcome of the first event. The probability is calculated by adjusting the total outcomes based on the first event.

Front

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

Back

The formula is: P(A and B) = P(A) * P(B), where A and B are independent events.