SOLUTION: In a package of candies, 8 candies are green, 2 are red, and 6 are white. If the first candy chosen (and not replaced) is not a white one, what is the probability that the next one

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a package of candies, 8 candies are green, 2 are red, and 6 are white. If the first candy chosen (and not replaced) is not a white one, what is the probability that the next one      Log On


   

Question 1189394: In a package of candies, 8 candies are green, 2 are red, and 6 are white. If the first candy chosen (and not replaced) is not a white one, what is the probability that the next one randomly chosen will be white?
A. 5/16
B. 3/8
C. 2/5
D. 3/5
E. 2/3
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

8 green + 2 red + 6 white = 16 total candies

Those 16 candies drop to 16-1 = 15 after the first candy is chosen.

The fact it says the first selection isn't white means we know 100% that we have m = 6 choices for the second slot.
This is out of the n = 15 left over.

Dividing the two values gets us
m/n = 6/15 = (2*3)/(5*3) = 2/5

Answer: 2/5 (choice C)