Because the first marble is replaced the size of the sample space 9 does not change from the first drawing to the second so the events are independent.
Replacing a marble independent or dependent.
Identify the following compound event as independent or dependent and then find the probability of the events both occurring.
What is the probability of drawing a red marble replacing it and then drawing another red marble.
So these are not independent events.
Two marbles are drawn at random without replacement.
There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.
P green then red p green p red given green occurred 3 5 2 4 6 20 3 10.
If it s a green marble whatever marble it is at whatever after the first pick we leave it on the table.
Are the two events dependent or independent.
Is a wonderful way to picture what is going on so let s build one for our marbles example.
Are the two events dependent or independent.
By not replacing the marble after the first draw the probability of the second draw is affected.
One marble is removed from the box and then replaced.
Answer since i m not drawing with replacement it s tempting to think that these are dependent events but they.
The events are dependent.
A box contains 5 purple marbles 3 green marbles and 2 orange marbles.
I have a drawer with 10 socks in it.
A bag contains 6 marbles 3 red and 3 blue.
What is the probability that the first marble is blue and the second marble is green.
We are not replacing it.
Find the probability of problems work space selecting a green marble in a second draw if the first marble is blue.
Independent 1 2 dependent 1 2 dependent 1 4 independent 1 4.
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Or in particular the second pick is dependent on the first.
First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn.
Six are blue and four are red.
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.
Another marble is drawn from the box.
Let me make this clear not independent.
A box contains 2 red marble 3 white marble 4 green marbles and 1 blue marble.
Dependent events are what we look at here.
Remember we take the marble out.
We can go one step further and see what happens when we pick a second marble.
The sample space of the second draw has changed leaving only 4 marbles.
I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks.
Are these independent events or dependent events.
5th 8th grade.
The sample space for the second event is then 19 marbles instead of 20 marbles.
This is called probability without replacement or dependent probability.