Replacing A Marble Independent Or Dependent

We can go one step further and see what happens when we pick a second marble.

Replacing a marble independent or dependent. A box contains 5 purple marbles 3 green marbles and 2 orange marbles. Let me make this clear not independent. Is a wonderful way to picture what is going on so let s build one for our marbles example. The sample space of the second draw has changed leaving only 4 marbles.

Remember we take the marble out. What is the probability of drawing a red marble replacing it and then drawing another red marble. First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn. 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.

Are the two events dependent or independent. There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red. Or in particular the second pick is dependent on the first. Answer since i m not drawing with replacement it s tempting to think that these are dependent events but they.

One marble is removed from the box and then replaced. So these are not independent events. I have a drawer with 10 socks in it. A bag contains 6 marbles 3 red and 3 blue.

Preview this quiz on quizizz. Independent 1 2 dependent 1 2 dependent 1 4 independent 1 4. Are these independent events or dependent events. We are not replacing it.

I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks. Draws are made without replacement. What is the probability that the first marble is blue and the second marble is green. So there s not any replacement here.

Are the two events dependent or independent. The events are dependent. Six are blue and four are red. Find the probability of problems work space selecting a green marble in a second draw if the first marble is blue.

By not replacing the marble after the first draw the probability of the second draw is affected. The sample space for the second event is then 19 marbles instead of 20 marbles. P green then red p green p red given green occurred 3 5 2 4 6 20 3 10. Two marbles are drawn at random without replacement.

Another marble is drawn from the box. 5th 8th grade. First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn. If it s a green marble whatever marble it is at whatever after the first pick we leave it on the table.

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. This is called probability without replacement or dependent probability.