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