A bag contains 10 marbles: 2 are green 4 are red and 4 are blue. Maya choose a marble at random without putting it back, chooses another one at random what is the probability that the first marble is blue and the second is green? Write answer as fraction in simplest form.

2/5 blue. 1/5 green.

Step-by-step explanation:

Since there is 4 blue marbles the possibility would be 4/10. But the question says to put the answer in simplest form so you find the Greatest Common Factor for 4 and 10. The Greatest common factor is 2. You divide 4 by 2 and divide 10 by 2. 4 divided by 2 is 2. 10 divided by 2 is 5. Therefore, you get 2/5 blue.    

You do the same steps for the green marbles. At first, the possibility would be 2/10. But we have to simplify and the Greatest common factor is 2 again. 2 divided by 2 is 1 and 10 divided by 2 is 5. Therefore, you get 1/5 green.

Final 2/5 blue. 1/5 green.

Hope this helped everybody :)

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction