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A box contains 4 white and 6 black balls. If one ball is drawn at random, what i

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Question: A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is white given that it is not black?

Options:

  1. 2/5
  2. 1/5
  3. 1/2
  4. 1/3

Correct Answer: 2/5

Solution: 

If the ball is not black, it must be white. Therefore, P(White | Not Black) = 1.

A box contains 4 white and 6 black balls. If one ball is drawn at random, what i

Practice Questions

Q1
A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is white given that it is not black?
  1. 2/5
  2. 1/5
  3. 1/2
  4. 1/3

Questions & Step-by-Step Solutions

A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is white given that it is not black?
Correct Answer: 1
  • Step 1: Understand the problem. We have a box with 4 white balls and 6 black balls.
  • Step 2: Identify the total number of balls. There are 4 white + 6 black = 10 balls in total.
  • Step 3: Focus on the condition given in the question. We need to find the probability of drawing a white ball given that the ball drawn is not black.
  • Step 4: If the ball is not black, it can only be white because there are no other colors.
  • Step 5: Since the only option left (not black) is white, the probability of drawing a white ball in this case is 1.
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Total Probability – Understanding the total number of outcomes and how they relate to the event of interest.
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