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.)
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.
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.
3 in 10
20% (or 2 in 10 chance)
The theoretical probability of randomly drawing a green marble can be calculated by dividing the number of green marbles by the total number of marbles in the bag. In this case, there are 12 green marbles out of a total of 5 red marbles + 8 blue marbles + 12 green marbles, which is 25 marbles in total. Therefore, the theoretical probability of drawing a green marble is 12/25 or 48%.
Suppose probability of drawing a red marble is p. Then p = 2*(1 - p) that is p = 2 - 2p or p = 2/3 So 2/3 of the 24 marbles are red 24*(2/3) = 16 red marbles.
There would be a 7/19 or 36.84% chance of drawing a blue marble from the bag.
it depends on the total number of marbles you have!
The probability of drawing a white marble is .46
It is (1/2)5 = 1/32
hypergeom. f(1;13,3,1) * f(1;12,5,1)
There are at least 11 green marbles in the bag.