Probability Math Problem | Selecting different colored marbles

@mathvibe
A probability math problem for you. What are the odds of selecting 1 red marble and 1 blue marble out of a bag containing 6 red marbles and 3 blue marbles?
Questions, leave a comment below.

#maths #probability #mathproblem

[VerbDoesStuff]

This is a bad QUESTION. The question should be worded: Two marbles are randomly drawn from a bag without placing the first back in before drawing the second. There are 6 red marbles and 3 blue marbles. What is the probability of drawing both a red and blue marble, in any order?

or if you want to be even more clear and less tricky

what is the probability of drawing a red and the blue, or a blue and then red marble?

Then it becomes obvious what to do if you’ve learned that “and” means multiply and “or” means add.

[ruzokedits]

This is a question of without replacement, so after 1st marble is drawn only 8 are left in the bag.

[Chickenizer]

"Without replacement" should be in the question.

[mukulkhola]

plz tell me why did you mutiply it with 2 in last?

[adityagoel]

Options are wromg answer is 1/1 bcoz question is not asking probability it is asking odds both are not the same thing odds are no. of times event happens/no. of times event doesn't happen.
Pls do a quick google search of the word odds OR open a class 12th maths NCERT

[ophelia_III]

This question is not written well. I would of argued my way out of it if I got it wrong on a classroom test.

[Alter_]

Got exam today thanks for the information

[laurbear]

Doing the math without explaining why/what the reason is is not helpful to anyone. Are we assuming the marbles arent going back in the bag here which is why we ended up with 8 instead of 9?

[HariMaruboyina]

I have a question can you just multiply 6 and 3(make tree diagram) and add 6 and 3 so 9/18=1/2

[AryssaRiyasat]

Ce problème est mal expliqué parce que nous ne pouvons pas dire s’il est avec ou sans remplacement.

[gambaribolantatitilayo]

You explained that we have 9 marbles all together which was why u said 6/9 so u should have explained why we have 3/8 too.

[pundalikanaik]

Answer is right but the way you are doing is simply complicating

[reesespieces]

This assumes that you must pick them in that order. But the wording doesn’t agree with that. If order matters, it would say “What are the odds of picking 1 R and then 1 B after?” So order shouldn’t matter here.

Real solution:
6C1 * 3C1 / 9C2 which is 1/2

This is because there are 6 ways of choosing R and 3 ways of choosing B meaning 18 total. And there are 36 ways of choosing 2 out of 9