Topic 12: Probability of Dependent Events

What are dependent events in probability?

• Events that do not affect each other's outcomes.

• Events where the outcome of one event affects the outcome of another.

• Events that are mutually exclusive.

• Events that are independent of each other.

If you draw a card from a deck and do not replace it, how does this affect the probability of drawing a second card?

• The probability remains the same.

• The probability of drawing a second card is dependent on the first draw.

• The probability of drawing a second card is independent of the first draw.

• The probability of drawing a second card is zero.

In a bag of 5 red and 3 blue marbles, if you draw one marble and do not replace it, what is the probability of drawing a red marble first and a blue marble second?

Which of the following scenarios describes dependent events?

• Tossing a coin and rolling a die.

• Drawing two cards from a deck without replacement.

• Rolling two dice.

• Flipping two different coins.

If you have a jar with 4 green and 6 yellow candies, and you pick two candies without replacement, what is the probability that both candies are green?

Define dependent events in the context of probability.

• Events that occur simultaneously.

• Events where the occurrence of one event affects the probability of the other.

• Events that cannot happen at the same time.

• Events that have no effect on each other.

A box contains 10 pens: 7 blue and 3 black. If two pens are drawn one after the other without replacement, what is the probability that both pens are black?

Which of the following is an example of dependent events?

• Rolling a die and flipping a coin.

• Drawing two marbles from a bag without replacement.

• Tossing two coins.

• Rolling two dice.

If you have a deck of 52 cards and draw two cards without replacement, what is the probability that both cards are aces?

What happens to the probability of the second event in dependent events?

• It remains unchanged.

• It is affected by the outcome of the first event.

• It becomes zero.

• It becomes one.