there are 9 blue marbles, 4 black marbles, 5 white marbles and 6 red marbles. If the probability of drawing a blue marble is now 1/3, how many of the 6 marbles removed were blue?

Short answer: 3.

9+4+5+6 = 24
24-6 = 18
18/3 = 6
9-6 = 3 Ans.

To find how many blue marbles were removed, we need to determine the total number of marbles that were removed and the probability of drawing a blue marble after the removal.

1. Find the initial total number of marbles:
Total marbles = Number of blue marbles + Number of black marbles + Number of white marbles + Number of red marbles
Total marbles = 9 + 4 + 5 + 6
Total marbles = 24

2. Calculate the number of marbles removed by subtracting the final number of marbles from the initial total:
Marbles removed = Initial total marbles - Final total marbles

3. Determine the probability of drawing a blue marble after the removal:
Probability of drawing a blue marble = Number of remaining blue marbles / Final total marbles
Probability of drawing a blue marble = 1/3

4. Substitute the values into the equation:
1/3 = Number of remaining blue marbles / Final total marbles

5. Rearrange the equation to find the number of remaining blue marbles:
Number of remaining blue marbles = (1/3) * Final total marbles

6. Substitute the values into the equation and solve for the final number of marbles removed:
(1/3) * Final total marbles = Marbles removed

By following these steps, the number of blue marbles removed can be calculated.

To find out how many blue marbles were removed, we need to first determine the total number of marbles removed from the bag.

The total number of marbles in the original bag is:

9 blue marbles + 4 black marbles + 5 white marbles + 6 red marbles = 24 marbles

Let's assume that x is the number of blue marbles removed from the bag.

So, the probability of drawing a blue marble after removing x blue marbles is:

(number of remaining blue marbles) / (total number of remaining marbles)

We know that the probability of drawing a blue marble is 1/3. Therefore, the number of remaining blue marbles can be calculated as:

(9 - x) blue marbles

The total number of remaining marbles after removing x blue marbles is:

(24 - x) marbles

Using the given probability, we can write the following equation:

(9 - x) / (24 - x) = 1/3

To solve this equation and find the value of x, we can cross-multiply:

3(9 - x) = 24 - x

Simplifying:

27 - 3x = 24 - x

2x = 3

x = 3/2

Since x represents the number of blue marbles removed, it cannot be a fraction. Thus, it is not possible to remove a fraction of a marble.

Therefore, we conclude that none of the 6 marbles removed were blue.