Mathematics

A bag contains 5 black, 4 white and x red marbles. If the probability of…

A bag contains 5 black, 4 white and x red marbles. If the probability of picking a red marble is 2/3, find the value of x
  • A.
    8
  • B.
    10
  • C.
    4
  • D.
    6
Correct Answer: Option D
Explanation

Black = 5
White = 4
Red = x
Total = 9+x
P(red) = 2/3
x / (9+x) = 2/5
5x = 2(9+x)
5x = 18+2x
5x-2 = 18
3x = 18
x = 6