SOLUTION: A jar contains 5 white, 7 blue, and 8 red marbles. If you remove 1 marble at a time, randomly, what is the minimum number that you must remove to be certain that you have at least

Question 281482: A jar contains 5 white, 7 blue, and 8 red marbles. If you remove 1 marble at a time, randomly, what is the minimum number that you must remove to be certain that you have at least 3 marbles of each color?
Found 2 solutions by brucewill, richwmiller:
Answer by brucewill(101) (Show Source): You can put this solution on YOUR website!
The "worst case" would be pulling 8 red, then 7 blue, then 1 white.
Therefore, you would need to pull 16 before being assured of 1 of each color.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
If I remove 17 the last three might be all white giving me only two white.
but if I remove 18 I have to have all but 2 so that if the two left are both white I will have at least 3 white

RELATED QUESTIONS
A jar contains 5 white, 7 blue, and 8 red marbles. If you remove 1 marble at a time,... (answered by bucky)
a jar contains 5 blue marbles, 4 red marbles, 2 yellow marbles, and 1 white marble, if... (answered by JulietG)
: A jar contains 4 blue marbles, 5 red marbles and 11 white marbles. If a marble is drawn (answered by addingup)
A jar contains 6 red, 7 white, and 7 blue marbles. If a marble is chosen at random,... (answered by Fombitz)
a jar contains 6 red marbles. 5 blue marbles, and 9 green marbles. what is the... (answered by checkley79)
a jar contains 6 red marbles. 5 blue marbles, and 9 green marbles. what is the... (answered by ikleyn)
A box contains 6 red marbles, 10 white marbles, 18 blue marbles and 5 black marbles. What (answered by howcutegirl)
A box contains four types of marbles with different colours. There are 5 Red, 7 Yellow,... (answered by edjones)
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles.... (answered by ewatrrr)