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

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

a. is correct