SOLUTION: You have 90 balls altogether. 20 of them are white, 25 are blue, 27 are red, and 18 are green. Now you will draw a ball one at a time randomly until you've drawn any of the fol

Question 1046976: You have 90 balls altogether. 20 of them are white, 25 are blue,
27 are red, and 18 are green. Now you will draw a ball one at a
time randomly until you've drawn any of the following: either 11
white, 9 blue, 3 red, or 14 green. What is the minimum number of
balls you have to draw until you are 100% sure that you've gotten
one of the previous combinations?
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!
You have 90 balls altogether. 20 of them are white, 25 are blue,
27 are red, and 18 are green. Now you will draw a ball one at a
time randomly until you've drawn any of the following: either 11
white, 9 blue, 3 red, or 14 green. What is the minimum number of
balls you have to draw until you are 100% sure that you've gotten
one of the previous combinations?


The most number of balls you could possibly have drawn and failed 
is to have drawn 10 whites, 8 blues, 2 reds and 13 greens. That
case is possible when 10+8+2+13=33 balls are drawn.  You would 
necessarily have more than 10 whites or 8 blues or 2 reds or 13 
greens in any other case of drawing 33 balls.  That is to say, 
any other case when 33 balls have been drawn will be a success.  
But even in that extreme case, if you draw one more ball, you 
must succeed.

Answer: 34 balls.  

Edwin

RELATED QUESTIONS
You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. You... (answered by Fombitz)

You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. You... (answered by Fombitz,mathmate)

You are going to draw 3 balls from the sack containing, 7 red balls,5 green balls, and 4... (answered by ikleyn)

A jar contains balls of four different colors; red, blue, yellow and green. The total... (answered by stanbon)

A bag contains 80 balls of which 20 are red, 25 are blue and 35 are white. A ball is... (answered by ikleyn)

If you are going to be drawing 3 balls from a sack containing 4 red balls, 3 green balls... (answered by ikleyn)

Suppose there are 2 red balls, 5 blue balls, and 1 black ball. What�s the minimum number... (answered by Edwin McCravy)

Question 1: Two cards are drawn at random from a standard deck of 52 cards. What is the... (answered by stanbon)

Question #1: A container contains THREE RED, FIVE WHITE and EIGHT GREEN balls. You... (answered by Mathtut)