# Question b1305

Jan 30, 2017

They are independent.

#### Explanation:

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

The chance of her pulling out a quarter is $\frac{3}{8}$, 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 $\frac{3}{8}$ chance of being a quarter, and $\frac{5}{8}$ 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.