Independent & 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 probability of the other event occurring.

Front

What are dependent events in probability?

Back

Dependent events are two or more events where the occurrence of one event affects the probability of the other event occurring.

Front

In the context of drawing cards, what does it mean to replace a card after drawing?

Back

Replacing a card means putting the card back into the deck before drawing again, which keeps the total number of cards the same for each draw.

Front

What is the probability of drawing a specific card from a standard deck of 52 cards?

Back

The probability of drawing a specific card from a standard deck of 52 cards is 1/52.

Front

If a card is drawn and not replaced, how does it affect the probability of drawing a second card?

Back

If a card is drawn and not replaced, the total number of cards decreases, which changes the probability of drawing a second card.

Front

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

Back

The probability of independent events A and B occurring together is P(A) * P(B).

Front

How do you calculate the probability of dependent events?

Back

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

Front

What is the probability of winning a prize if there are multiple prizes and one is won?

Back

The probability of the next person winning a different prize depends on the number of remaining prizes and the total number of prizes.

Front

What is the probability of guessing a combination on a lock with multiple digits?

Back

The probability of guessing a combination on a lock with multiple digits is calculated by taking the total number of possible combinations and finding the likelihood of one specific combination.

Front

What is the significance of the total number of outcomes in probability?

Back

The total number of outcomes is crucial for calculating probabilities, as it serves as the denominator in probability calculations.