Replacing A Marble Independent Or Dependent

The events are dependent.

Replacing a marble independent or dependent. I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks. A box contains 5 purple marbles 3 green marbles and 2 orange marbles. The sample space of the second draw has changed leaving only 4 marbles. P green then red p green p red given green occurred 3 5 2 4 6 20 3 10.

One marble is removed from the box and then replaced. So there s not any replacement here. Dependent events are what we look at here. Remember we take the marble out.

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. The sample space for the second event is then 19 marbles instead of 20 marbles. By not replacing the marble after the first draw the probability of the second draw is affected. So these are not independent events.

Preview this quiz on quizizz. We can go one step further and see what happens when we pick a second marble. Six are blue and four are red. What is the probability that the first marble is blue and the second marble is green.

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. Answer since i m not drawing with replacement it s tempting to think that these are dependent events but they. Draws are made without replacement.

First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn. 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. 5th 8th grade. A box contains 2 red marble 3 white marble 4 green marbles and 1 blue marble.

Identify the following compound event as independent or dependent and then find the probability of the events both occurring. First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn. We are not replacing it. Or in particular the second pick is dependent on the first.

Find the probability of problems work space selecting a green marble in a second draw if the first marble is blue. Another marble is drawn from the box. What is the probability of drawing a red marble replacing it and then drawing another red marble. There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.

Let me make this clear not independent. Are the two events dependent or independent. This is called probability without replacement or dependent probability. Two marbles are drawn at random without replacement.

If it s a green marble whatever marble it is at whatever after the first pick we leave it on the table. A bag contains 6 marbles 3 red and 3 blue.