If you draw one out, replace it, and draw another out, it's independent.
If you draw one out, DON'T replace it, and draw another out, it's dependent. (Similarly if you draw them both out at the same time.)
Chat with our AI personalities
Dependent
The first marble is the independent event because its probability is only based on the sample space of the bag. The second marble is the dependent event because its probability is based on the sample space of the bag which has now been changed by the first marble.
There would be a 7/19 or 36.84% chance of drawing a blue marble from the bag.
It is (1/2)5 = 1/32
Number of possibilities for one category / Total of all possibilities. For example, if I had a bag of marbles where there are three white marbles and two black marbles. The probability of pulling out a white marble is how many white marbles are in the bag which is: three. But the total of things you can draw out of the bag can either be one of the three white marbles or one of the two black marbles. 3 white marbles+ 2 Black marbles= five marbles. Possibility is 3/5 for drawing a white marble.