Q: A bag or marbles contains 8 red marbles and 5 green marbles Three marbles are drawn at random at the same time Find the probability that two are red and one is green?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

11/16

Three sixteenths, or 19%.

There are 6!/3! = 120 possible combinations of marble colour. Of these, only 2 are "good". This gives a probability of 2/120 = 1/60 = 0.0167, or about one and two-thirds of a percent.

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.

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.

Related questions

3/16

11/16

one out of nine

Three sixteenths, or 19%.

It is 1248/57120 = 13/595 = 0.0218 approx.

There are 6!/3! = 120 possible combinations of marble colour. Of these, only 2 are "good". This gives a probability of 2/120 = 1/60 = 0.0167, or about one and two-thirds of a percent.

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.

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.

25/50 gives the probability of selecting a blue marble

The probability that it contains exactly 3 balls is 6/45 = 0.133... recurring.

It is 15/50 = 0.3

1 in 3