25%
The chance is 25%.
Depends on the color of the marbles, or more specifically, it depends upon how many of the marbles are blue. If 0 marbles are blue, then the chance is 0. If 1 marble is blue, then the chance is 1/4. If 2 marbles are blue, then the chance is 1/2. If 3 marbles are blue, then the chance is 3/4. If 4 marbles are blue, then the chance is 1. These probabilities assume that you draw only once. The other possibilities are that you draw twice, or three times, or four times. If drawing multiple times, it can be done by putting back each marble after it was drawn, or by keeping it out after it has been drawn.
Number of possibilities for one category / Total of all possibilities. For example, if I had a bag of marbles where there are three white marbles and two black marbles. The probability of pulling out a white marble is how many white marbles are in the bag which is: three. But the total of things you can draw out of the bag can either be one of the three white marbles or one of the two black marbles. 3 white marbles+ 2 Black marbles= five marbles. Possibility is 3/5 for drawing a white marble.
A combination problem essentially asks for two answers from different mathematical areas. A simple example could be, "A boy has a bag of marbles. Four marbles are blue. Three marbles are red. Five marbles are white. How many marbles does he have all together? What are the chances of picking a blue marble at random?" The two areas being addressed are simple addition and probability. There are a total of 12 marbles. There is a 1:3 chance of picking a blue marble at random.
1 in 3
The chance is 25%.
25%
Depends on the color of the marbles, or more specifically, it depends upon how many of the marbles are blue. If 0 marbles are blue, then the chance is 0. If 1 marble is blue, then the chance is 1/4. If 2 marbles are blue, then the chance is 1/2. If 3 marbles are blue, then the chance is 3/4. If 4 marbles are blue, then the chance is 1. These probabilities assume that you draw only once. The other possibilities are that you draw twice, or three times, or four times. If drawing multiple times, it can be done by putting back each marble after it was drawn, or by keeping it out after it has been drawn.
3/6 * 3/5 = 6/30 or 1/5 so you have a 20% chance of pulling a white and then black marble.
Number of possibilities for one category / Total of all possibilities. For example, if I had a bag of marbles where there are three white marbles and two black marbles. The probability of pulling out a white marble is how many white marbles are in the bag which is: three. But the total of things you can draw out of the bag can either be one of the three white marbles or one of the two black marbles. 3 white marbles+ 2 Black marbles= five marbles. Possibility is 3/5 for drawing a white marble.
12 white marbles from (7+3+12) = 22 marblesChance of a white marble on first pick = 12/22 = 6/11.Chance of a white marble on second and third picks are the same, as the marble is replaced.So, the chance of a white marble three times is 6/11 * 6/11 * 6/11 = 216/1331 = approximately 16.23%
minus one red marble plus one blue marble
A combination problem essentially asks for two answers from different mathematical areas. A simple example could be, "A boy has a bag of marbles. Four marbles are blue. Three marbles are red. Five marbles are white. How many marbles does he have all together? What are the chances of picking a blue marble at random?" The two areas being addressed are simple addition and probability. There are a total of 12 marbles. There is a 1:3 chance of picking a blue marble at random.
The maximum number of marbles you have to draw is three. 1) Draw a marble. It is either white or black. 2) Draw a second marble. If it is the same colour as the first marble, we are done after two draws. 3) Otherwise, the drawn marbles have different colours. Draw a third marble. No matter what you draw next, you must have two marbles of the same colour.
Since each of the three colours has an equal chance of being drawn, theoretically if you draw four marbles from the bag, you should have at leas two of the same colour.However, there is a 1/3 (33.33%) chance that the first two marbles you pull out will be the same color. There is just a guarantee that you will have two of at least one color after pulling out four.
1 in 3
Well, honey, if you're reaching into that bag three times and each time you're pulling out a yellow marble and then putting it back in, the probability of picking a yellow marble each time is 8/21. Multiply that by itself three times because you're picking three marbles, and you get a probability of 512/9261. So, good luck with those yellow marbles, darlin'!