Abox holds 2 marbles and 6 red marbles. How many and what color marbles could you remove from the bag to make the probability tf picking red 1/2?

I've shown you how to do several problems. Now it's your turn. I'll be glad to check your answer.

i would remove 4 red marbles. that leaves 2 blue marbles and 2 red marbles.

Yes!!!! You've got it! :-)

To determine how many and what color marbles you could remove from the bag to make the probability of picking red 1/2, we can follow these steps:

Step 1: Find the total number of marbles in the bag.
In this case, the bag holds 2 marbles and 6 red marbles, so the total number of marbles is 2 + 6 = 8.

Step 2: Determine the initial probability of picking a red marble.
Since there are 6 red marbles in a total of 8 marbles, the initial probability of picking a red marble is 6/8, which simplifies to 3/4.

Step 3: Calculate how many marbles you need to remove to make the probability of picking red 1/2.
To make the probability of picking red 1/2, you need to change the probability from 3/4 to 1/2.

Step 4: Adjust the probability by removing marbles.
To decrease the probability from 3/4 to 1/2, you can remove marbles that are not red.

Since the target probability is 1/2, and the initial probability is 3/4, you need to decrease the probability by 3/4 - 1/2 = 1/4.

Now, find the corresponding fraction of marbles that you need to remove.

Let's denote the total number of marbles to be removed by 'x'. The fraction of marbles to be removed can be expressed as x/8.

According to the given condition, the fraction of marbles that should be removed is 1/4.

Therefore, you need to solve the equation:

x/8 = 1/4.

To solve for x, cross-multiply and simplify:

4x = 8.

Divide by 4 on both sides:

x = 2.

So, you need to remove 2 marbles to make the probability of picking red 1/2.

Step 5: Determine the color of the marbles to be removed.
Since the goal is to make the probability of picking red 1/2, you should remove non-red marbles. In this case, the initial total of non-red marbles is 2 (the marbles that are not red).

Therefore, you should remove 2 non-red marbles from the bag.