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.
The odds are set so that the longer you play, the more probable it is you will lose. Its like betting on a jar with a thousand marbles in it. 600 of the marbles are black and 400 are white. You bet $1 each time a marble is picked and your bet is that a white marble will be picked. If a white marble is picked, you get your $1 back plus an additional $1. As the marbles are being picked, you may be winning at times but ultimately you will lose $200 because there are 200 more black marbles than white marbles. This may seem very simplistic but it is exactly what happens when you play craps.
The answer is dependent on whether of not you replace the marbles in the jar. If you do, the probability of drawing a red marble is 9 in 15 or 60%, every time. If you do not replace the marbles, the probability of drawing a red marble is 2 in 8 or 25%.
48 marbles
at least 39 blue marbles
Short answer: 14/81There is a 2/9 chance of picking a green marble the first time.Since this leaves 8 marbles (only one of which is green; you took the other one), that leaves an 7/8 chance of picking any other colour the second time.To find the overall probability, you simply multiply the two values (2/9 * 7/8 = 14/81). This is simple to understand. You can only get a green marble every 2 out of 9 tries. For each of these 2 times, you have a 7/8 chance of getting a different colour the second time. So, you have a 7/8 chance every 2/9 times. Simply multiply them to get the total number of possibilities.
The odds are set so that the longer you play, the more probable it is you will lose. Its like betting on a jar with a thousand marbles in it. 600 of the marbles are black and 400 are white. You bet $1 each time a marble is picked and your bet is that a white marble will be picked. If a white marble is picked, you get your $1 back plus an additional $1. As the marbles are being picked, you may be winning at times but ultimately you will lose $200 because there are 200 more black marbles than white marbles. This may seem very simplistic but it is exactly what happens when you play craps.
Depends how many marbles are in the bag
The answer is dependent on whether of not you replace the marbles in the jar. If you do, the probability of drawing a red marble is 9 in 15 or 60%, every time. If you do not replace the marbles, the probability of drawing a red marble is 2 in 8 or 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.
select a marble from the jar, return it , and record times
Before. Marbles have been found in ancient tombs of Egypt.
They had altogether at first 176 marbles (Mar has 44 and Jay has 132).
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%
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'!
The total marbles are 60, your mathematical expectation of getting a single blue marble in one try is therefore 17/60. If you grab 7 random marbles, the mathematical expectation is 7 times 17/60. This is the expectation, in an actual experiment you will get more or less than that, but it should be fairly close to the calculated value. (Note that the mathematical expectation in this case isn't even an integer.)
Since 1915 and the ability to mass produce them with machines, modern marbles have typically been made from glass. Before that in the past they have been made by hand from glass, clay, polished nuts or polished stone. The oldest known marbles were rocks harvested from rivers which had been naturally polished over time from the flowing water; use of river stones as marbles has been found in ancient times through archeology. There have been historical finds of marbles hand made from marble, but it is not a common practice and they are rare. not my answer because I didn't make it, but this answer is the best explanation I have ever heard.
48 marbles