We can go one step further and see what happens when we pick a second marble.
Replacing a marble independent or dependent.
If it s a green marble whatever marble it is at whatever after the first pick we leave it on the table.
One marble is removed from the box and then replaced.
What is the probability of drawing a red marble replacing it and then drawing another red marble.
Two marbles are drawn at random without replacement.
So there s not any replacement here.
Remember we take the marble out.
Find the probability of problems work space selecting a green marble in a second draw if the first marble is blue.
Are the two events dependent or independent.
Another marble is drawn from the box.
Are these independent events or dependent events.
First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn.
First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn.
So these are not independent events.
Answer since i m not drawing with replacement it s tempting to think that these are dependent events but they.
Is a wonderful way to picture what is going on so let s build one for our marbles example.
A box contains 5 purple marbles 3 green marbles and 2 orange marbles.
5th 8th grade.
The sample space of the second draw has changed leaving only 4 marbles.
For example a marble may be taken from a bag with 20 marbles and then a second marble is taken without replacing the first marble.
Six are blue and four are red.
Independent 1 2 dependent 1 2 dependent 1 4 independent 1 4.
What is the probability that the first marble is blue and the second marble is green.
Dependent events are what we look at here.
Are the two events dependent or independent.
I have a drawer with 10 socks in it.
Identify the following compound event as independent or dependent and then find the probability of the events both occurring.
We are not replacing it.
Or in particular the second pick is dependent on the first.
The events are dependent.
Let me make this clear not independent.
P green then red p green p red given green occurred 3 5 2 4 6 20 3 10.
There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.
I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks.
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This is called probability without replacement or dependent probability.
A box contains 2 red marble 3 white marble 4 green marbles and 1 blue marble.
The sample space for the second event is then 19 marbles instead of 20 marbles.
A bag contains 6 marbles 3 red and 3 blue.