Question

Question #a83d6

Answer 1

`2`

Explanation:

Without removing any white chips, the probability of picking a black chip is

`P("black chip") = "black chips" / "total chips" = 8/(8+6)=8/14`

When we remove the white chips, only the total number of chips will decrease in number. That is, there will always be `8` black chips.

Since we want the probability of picking a black chip to equal `2/3`, we can set up the following equation:

`2/3 = 8/ x`

where `x` is the total number of chips in the box.

We can now cross-multiply and solve for `x`:

`2x = 8 * 3`

`2x = 24`

`x = 12`

Thus, once we have `12` chips, the probability of picking a black chip will be `8/12`, which simplifies to `2/3`.

Since we started with a total of `14` chips, we have removed `color(red)2` white chips to get a total number of `12` chips.