There is a bag filled with 5 blue, 6 red and 2 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?

Step-by-step explanation:

Let's separate into 3 cases:

Note that we put the number of color balls we want in the numerator and the total number of color balls remaining in the denominator.

Case 1: 2 blue marbles

(There were 5 blues originally, and 4 blues after 1 blue is taken out, same logic but different colors and values in case 2 and 3.)

Case 2: 2 red marbles

Case 3: 2 green marbles

Now add up all 3 cases and you will have the probability as required.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.