DIRECTIONS for the question:Solve the following question and mark the best possible option.
A box contains 4 blue, 2 green and 3 red balls and another box contains 4 red, 3 green, and 5 blue balls. A ball is picked up at random from one of the boxes. What is the probability that the ball is blue?
A)
2/9
B)
5/24
C)
19/72
D)
29/72
E)
31/72
E
P(Blue ball) = Bag 1 and Blue ball or Bag 2 and Blue ball
P(B) = 1/2*(4/9)+1/2(5/12)
P(B) = 1/2(31/36)
P(B) = 31/72
