dependent or independent

taking a quarter out of a bag and then taking another quarter out of the bag without replacing the first quarter

1 answer

It depends on
1. what the bag contains (all quarters, quarters and dimes, only one quarter, etc.)
2. whether the quarters are indistinguishable.

Assuming the bag contains a mix of coins of different denominations, and there are at least two quarters.

Say there are 10 coins of which 2 are quarters.

The first pick of a quarter would have a probability of 2/10.

Assuming the first pick was a quarter, then the probability of the second pick would be 1/9.
If the first pick was NOT a quarter, then the probability of the second pick would be 2/9.

What do you think about dependence (of the outcome of the second pick with respect to the first)?