Replacing A Marble Independent Or Dependent

Dependent events are what we look at here.

Replacing a marble independent or dependent.

The events are dependent. Six are blue and four are red. Independent 1 2 dependent 1 2 dependent 1 4 independent 1 4. By not replacing the marble after the first draw the probability of the second draw is affected.

I randomly select a sock from the set of blue socks and then i randomly select a sock from the set of red socks. What is the probability of drawing a red marble replacing it and then drawing another red marble. So these are not independent events. Another marble is drawn from the box.

We can go one step further and see what happens when we pick a second marble. One marble is removed from the box and then replaced. I have a drawer with 10 socks in it. 5th 8th grade.

We are not replacing it. Are these independent events or dependent events. 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.

The sample space for the second event is then 19 marbles instead of 20 marbles. Is a wonderful way to picture what is going on so let s build one for our marbles example. A box contains 5 purple marbles 3 green marbles and 2 orange marbles. 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.

A box contains 2 red marble 3 white marble 4 green marbles and 1 blue 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. The sample space of the second draw has changed leaving only 4 marbles. First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn.

Find the probability of problems work space selecting a green marble in a second draw if the first marble is blue. Remember we take the marble out. Or in particular the second pick is dependent on the first. A bag contains 6 marbles 3 red and 3 blue.

This is called probability without replacement or dependent probability. What is the probability that the first marble is blue and the second marble is green. There is a 2 5 chance of pulling out a blue marble and a 3 5 chance for red. Draws are made without replacement.

Two marbles are drawn at random without replacement. P green then red p green p red given green occurred 3 5 2 4 6 20 3 10. So there s not any replacement here. If it s a green marble whatever marble it is at whatever after the first pick we leave it on the table.

First a red colored marble is drawn and then without replacing the first marble a blue colored marble is drawn. Preview this quiz on quizizz.