Probability Of Black Marble Second

Find the probability that the second marble is red given that the first marble is black.

Probability of black marble second. And then we have 3 green marbles let me draw those 3 so 1 2 3. What is the probability of randomly selecting a non blue marble from the bag. The first marble is red happens with probability 2 9. A bag contains 3 red 5 black and 8 white balls.

The first marble is not red happens with probability 7 9. Two marbles are chosen without replacement. So they say the probability i ll just say p for probability. If a red marble was selected first there is now a 2 4 chance of getting a blue marble and a 2 4 chance of getting a red marble.

If a blue marble was selected first there is now a 1 4 chance of getting a blue marble and a 3 4 chance of getting a red marble. Given this the probability the the second marble will be red is 1 8 since there is one red marble left out of 8. What is the probability of selecting a white marble on the second draw given that the first marble drawn was black. If three pens are drawn at random from the box with replacement what is the probability that the first two pens are red and the third is black.

This is called probability without replacement or dependent probability. And so this is sometimes the event in question right over here is picking the yellow marble. 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 probability of selecting a black marble and then a white marble is 0 34 and the probability of selecting a black marble on the first draw is 0 47.

So maybe we mix them all up and we have an equal probability of selecting any one of these. 2 blue marbles so we have 1 blue marble 2 blue marbles. Find the probability of pulling a yellow marble from a bag with 3 yellow 2 red 2 green and 1 blue i m assuming marbles. The probability of picking a yellow marble.

The sample space for the second event is then 19 marbles instead of 20 marbles. We can go one step further and see what happens when we pick a second marble.