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A box contains 4 red, 3 green, and 2 blue marbles. If a marble is drawn and it i

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

Options:

  1. 0.4
  2. 0.5
  3. 0.6
  4. 0.3

Correct Answer: 0.4

Solution: 

After drawing a green marble, there are 4 red, 2 green, and 2 blue marbles left. The probability of drawing a red marble next is 4/(4+2+2) = 4/8 = 0.5.

A box contains 4 red, 3 green, and 2 blue marbles. If a marble is drawn and it i

Practice Questions

Q1
A box contains 4 red, 3 green, and 2 blue marbles. If a marble is drawn and it is green, what is the probability that the next marble drawn is red?
  1. 0.4
  2. 0.5
  3. 0.6
  4. 0.3

Questions & Step-by-Step Solutions

A box contains 4 red, 3 green, and 2 blue marbles. If a marble is drawn and it is green, what is the probability that the next marble drawn is red?
Correct Answer: 0.5
  • Step 1: Count the total number of marbles in the box. There are 4 red, 3 green, and 2 blue marbles. So, total = 4 + 3 + 2 = 9 marbles.
  • Step 2: If a green marble is drawn, we remove it from the box. Now, we have 4 red, 2 green, and 2 blue marbles left.
  • Step 3: Count the remaining marbles. After drawing a green marble, the total remaining marbles = 4 red + 2 green + 2 blue = 8 marbles.
  • Step 4: Determine how many red marbles are left. There are still 4 red marbles.
  • Step 5: Calculate the probability of drawing a red marble next. The probability is the number of red marbles divided by the total remaining marbles: Probability = 4 red / 8 total = 0.5.
  • 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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