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A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is gr

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Question: A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is green, what is the probability that the next ball drawn is red?

Options:

  1. 4/9
  2. 2/9
  3. 1/3
  4. 1/4

Correct Answer: 4/9

Solution: 

After drawing a green ball, there are 4 red, 2 green, and 2 blue balls left. The probability of drawing a red ball next is 4/8 = 1/2.

A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is gr

Practice Questions

Q1
A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is green, what is the probability that the next ball drawn is red?
  1. 4/9
  2. 2/9
  3. 1/3
  4. 1/4

Questions & Step-by-Step Solutions

A box contains 4 red, 3 green, and 2 blue balls. If a ball is drawn and it is green, what is the probability that the next ball drawn is red?
Correct Answer: 1/2
  • Step 1: Count the total number of balls in the box. There are 4 red, 3 green, and 2 blue balls. So, total = 4 + 3 + 2 = 9 balls.
  • Step 2: If a green ball is drawn, we remove it from the box. Now, we have 4 red, 2 green, and 2 blue balls left.
  • Step 3: Count the remaining balls. After drawing a green ball, the total remaining balls = 4 red + 2 green + 2 blue = 8 balls.
  • Step 4: Determine how many red balls are left. There are still 4 red balls.
  • Step 5: Calculate the probability of drawing a red ball next. Probability = (Number of red balls) / (Total remaining balls) = 4 / 8.
  • Step 6: Simplify the fraction 4/8 to get 1/2.
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Counting Outcomes – Understanding how to count the remaining outcomes after an event has taken place.
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