Solve Probability Question: Draw 2 White Balls from Bag

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Homework Help Overview

The discussion revolves around a probability problem involving drawing balls from a bag containing white and black balls. The scenario specifies that after drawing a white ball, the probability of drawing another white ball needs to be determined without replacement.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the initial probability of drawing a white ball and question the reasoning behind different probability values. There is an emphasis on clarifying the setup of the problem and the implications of not replacing the first ball drawn.

Discussion Status

The discussion is active, with participants questioning each other's reasoning and attempting to clarify the initial conditions of the problem. Some guidance has been offered regarding the need to reconsider initial probabilities and the state of the bag after the first draw.

Contextual Notes

Participants note the importance of understanding the initial conditions of the problem, including the total number of balls and their colors, as well as the impact of not replacing the first ball drawn on subsequent probabilities.

ms. confused
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Can anyone tell me how I would solve this question:

A bag contains 3 white balls and 2 black balls. The first draw produced a white ball. The first ball is not replaced. What is the probability that the second draw will produce another white ball?
 
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ms. confused said:
Can anyone tell me how I would solve this question:

A bag contains 3 white balls and 2 black balls. The first draw produced a white ball. The first ball is not replaced. What is the probability that the second draw will produce another white ball?

You mean it's not put in the bag again.Okay...
Hint:What was the probability of pulling a white ball in the beginning??What is the formula of probabilities??How would you go abot now...??

Please,show me how you think.The purpose of this forum is to guide U solve the problem,not me..!
 
Ok well i see the probability of drawing a white ball at the beginning as being 2/5
 
Might want to recheck your work.
 
ms. confused said:
Ok well i see the probability of drawing a white ball at the beginning as being 2/5

How did u figure that out...??It's important to show your judgement,as well,since apparently it is to blame for erroneous results...
Again...??What' the initial probability and why...?
 
No, at the beginning the bag contained 5 balls, 3 of which were white.
The probability of drawing a white ball, at the beginning was ?/5.

However, your original question is different. After drawing a white ball out, the bag has 4 balls left, 2 of which are white. What is the probability of drawing a white ball now?
 
When simplified the probability now is 1/2.
 

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