A community for students.
Here's the question you clicked on:
 0 viewing
Pulsified333
 one year ago
Assume that the box contains 6 balls: 1 white, 2 yellow, and 3 green. Balls are drawn in succession without replacement, and their colors are noted until a white ball is drawn. How many outcomes are there in the sample space?
Pulsified333
 one year ago
Assume that the box contains 6 balls: 1 white, 2 yellow, and 3 green. Balls are drawn in succession without replacement, and their colors are noted until a white ball is drawn. How many outcomes are there in the sample space?

This Question is Closed

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0I thought there should be 33 in the space but its wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.012C3 = 12! / (9! 3!) = 12 * 11 * 10 / (3 * 2 * 1) = 220 different combinations of three balls among the 12 balls in the box. This is the number of different possible 3ball draws. There are 6C3 = 6! (3! 3!) = 20 combinations of 3 balls that are all red. There are 4C3 = 4 combinations of 3 balls that are all blue. There are no combinations of 3 balls that are all green. So the probability of drawing 3 balls the same color, without replacement, is (20 + 4) / 220 = 24/220 = 6/55 = about 10.9%

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0there are no red balls in this problem

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0?? Let me redo. This was my problem, I've had this before.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I did this awhile ago, mine was just with red instead of white, so I'm not sure.

dan815
 one year ago
Best ResponseYou've already chosen the best response.1nono so w can be drawn either 1s 2nd 3rd... or 6th

dan815
 one year ago
Best ResponseYou've already chosen the best response.1for each of these 6 cases u can have different combinations of balls before

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0right so how do i find out how many outcomes there are

dan815
 one year ago
Best ResponseYou've already chosen the best response.1okay so take a random case see if we can figure out a pattern because i dont like this method it looks too long

dan815
 one year ago
Best ResponseYou've already chosen the best response.1lets say for w showing up on the 4th try _ _ _ W that means we have 3 places for ,2 red and 3 green

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0no red just yellow

dan815
 one year ago
Best ResponseYou've already chosen the best response.1that means we either have 3 green,2, green or 1 green in there

dan815
 one year ago
Best ResponseYou've already chosen the best response.1but i dont wanna count like this, theres gonna be a permutation adn combination way of getting 3

dan815
 one year ago
Best ResponseYou've already chosen the best response.1we have 3 spots, 3 Green,2 Yellow* to fill those 3 spots

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0well I originally made a tree chart and came up with 33

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0Ik, is there a faster way to do it?

dan815
 one year ago
Best ResponseYou've already chosen the best response.1thats what im trying to think about

Pulsified333
 one year ago
Best ResponseYou've already chosen the best response.0I think i missed a W on my chart so I think it 34
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.