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.
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