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A box contains 10 balls, 4 red and 6 green. If one ball is drawn at random, what

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Question: A box contains 10 balls, 4 red and 6 green. If one ball is drawn at random, what is the probability that it is green given that it is not red?

Options:

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

Correct Answer: 3/5

Solution: 

If the ball is not red, it must be green. Therefore, P(Green | Not Red) = 1.

A box contains 10 balls, 4 red and 6 green. If one ball is drawn at random, what

Practice Questions

Q1
A box contains 10 balls, 4 red and 6 green. If one ball is drawn at random, what is the probability that it is green given that it is not red?
  1. 1/2
  2. 3/5
  3. 2/5
  4. 4/5

Questions & Step-by-Step Solutions

A box contains 10 balls, 4 red and 6 green. If one ball is drawn at random, what is the probability that it is green given that it is not red?
Correct Answer: 1
  • Step 1: Understand the problem. We have a box with 10 balls: 4 red and 6 green.
  • Step 2: Identify the condition given in the question. We want to find the probability of drawing a green ball given that the ball drawn is not red.
  • Step 3: Analyze the condition. If the ball is not red, it can only be green because there are no other colors.
  • Step 4: Conclude the probability. Since the only option left (not red) is green, the probability of drawing a green ball given that it is not red is 1.
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Sample Space – Understanding the total number of outcomes in a probability scenario.
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