Replacing A Marble Independent Or Dependent

A box contains 5 purple marbles 3 green marbles and 2 orange marbles.

Replacing a marble independent or dependent.

Independent 1 2 dependent 1 2 dependent 1 4 independent 1 4. Preview this quiz on quizizz. Dependent events are what we look at here. The sample space of the second draw has changed leaving only 4 marbles.

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. 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. 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 2 red marble 3 white marble 4 green marbles and 1 blue marble. I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks. This is called probability without replacement or dependent probability.

Draws are made without replacement. Let me make this clear not independent. The events are dependent. Identify the following compound event as independent or dependent and then find the probability of the events both occurring.

Are the two events dependent or independent. Another marble is drawn from the box. 5th 8th grade. 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. I have a drawer with 10 socks in it. 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.

What is the probability of drawing a red marble replacing it and then drawing another red marble. What is the probability that the first marble is blue and the second marble is green. Or in particular the second pick is dependent on the first. Are these independent events or dependent events.

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. We are not replacing it. One marble is removed from the box and then replaced.

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

Six are blue and four are red. So there s not any replacement here.