There are 6 red marbles, 10 blue marbles and 11 white marbles in a bag. You pick 8 marbles. Find the probabilty that you get exactly 2 red marbles, 3 blue marbles and 3 white marbles. Round to 3 decimal places.

0.906

Step-by-step explanation:

Red marbles = 6

Blue marbles = 10

White marbles = 11

8 random marbles are picked out

Probability of:

Red marbles = 2/6 = 1/3

Blue marbles = 3/10

White marbles = 3/11

2/6 + 3/10 = 6x5=30 and 10x3=30

5x2 = 10

10/30

3x3 = 9

9/30

10/30 + 9/30 = 19/30

19/30 + 3/11 = 299/330

299/330 as a decimal is 0.90606

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.