Question #b1305

1 Answer
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 #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.