Replacing A Marble Independent Or Dependent

What is the probability that the first marble is blue and the second marble is green.

Replacing a marble independent or dependent.

First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn. I have a drawer with 10 socks in it. What is the probability of drawing a red marble replacing it and then drawing another red marble. We can go one step further and see what happens when we pick a second marble.

Six are blue and four are red. A bag contains 6 marbles 3 red and 3 blue. 5th 8th grade. So these are not independent events.

Preview this quiz on quizizz. Let me make this clear not independent. 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. Are the two events dependent or independent.

Identify the following compound event as independent or dependent and then find the probability of the events both occurring. 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.

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. Find the probability of problems work space selecting a green marble in a second draw if the first marble is blue. Or in particular the second pick is dependent on the first.

A box contains 2 red marble 3 white marble 4 green marbles and 1 blue marble. Are the two events dependent or independent. Dependent events are what we look at here. There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red.

Is a wonderful way to picture what is going on so let s build one for our marbles example. We are not replacing it. Independent 1 2 dependent 1 2 dependent 1 4 independent 1 4. This is called probability without replacement or dependent probability.

Answer since i m not drawing with replacement it s tempting to think that these are dependent events but they. I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks. So there s not any replacement here. Another marble is drawn from the box.

The sample space of the second draw has changed leaving only 4 marbles. Two marbles are drawn at random without replacement. One marble is removed from the box and then replaced. 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.