Thread: Drawing Two Coins

1. Drawing Two Coins

Define a sample space for the experiment of drawing two coins from a purse that contains two quarters, three nickels, one dime, and four pennies.

Q - Quarter
N - Nickel
D - Dime
P - Penny

S = {QQ, QN, QP, QD, DN, DP, NP, NN, PP}
This is the book answer.

I am wondering why the sample space did not include NQ, PQ, DQ, ND, PD, PN?

2. Re: Drawing Two Coins

The experiment doesn't care about the order of the drawings, only the result after drawing two.

NQ is included as QN, PQ as QP, etc.

3. Re: Drawing Two Coins

How do we know that the experiment doesn't care about the order of the drawings?

4. Re: Drawing Two Coins Originally Posted by joshuaa How do we know that the experiment doesn't care about the order of the drawings?
generally if order matters they'll say so.

In this problem you can infer order doesn't matter because you are drawing "two coins", not one after the other.

5. Re: Drawing Two Coins

yeah so clear. thanks a Lot.

coin, draw, probability, sample, space 