Question

Question #b1305

Answer 1

They are independent.

Explanation:

Gigi has `8` coins total, `3` quarters and `5` pennies.

The chance of her pulling out a quarter is `3/8`, or `37.5%`.

Now, she has `7` coins, `2` quarters and `5` pennies.

However, she puts the missing quarter back in, returning the sample size to the original, before performing the exact same procedure (pulling out a coin).

The new coin has `3/8` chance of being a quarter, and `5/8` chance to be a penny.

Therefore, the fact that the first coin she pulled out was a quarter didn't matter, since she put it back, and the new sample size and chances are the same.