Math question can someone answer this

Question

Event A is pulling a blue marble from a bag of colored marbles. Event B is pulling a blue marble on the second draw, given that the first marble pulled is not put back in the bag. Are these events dependent or independent?

Answer 1

Since the outcome of the first draw changes the probability of the second draw, the events are dependent.

Answer 2

To give an example. if one has a bag of 5 blue marbles and five red marbles, the probability of drawing a blue marbLe on the first draw is 5/10 or 1/2.

On the second draw, if the first marble was blue then in the bag there are 4 blue marbles and 5 red marbles and the ptobabilty of drawing a blue marble on the second draw is 4/9.

If on the first draw the marble pulled of was red then in the bag there are 5 blue marbles and 4 red marbles left over. So, in this case the probability of getting a blue marble is 5/9.

Even A is independent but even t B is dependent on event A.

Answer 3

Event B is dependent on event A as the total number of marbles have changed after event A