Make an orderly list of all possible outcomes resulting from tossing a penny, a nickel, and a dime. 1. Start out with H for each 2. To get the next case start from the right and go left. Change the first H you come to 3. If there are any to the right of the one you changed to T, CHANGE THEM ALL TO h ========================================================== Start out with H for each Penny Nickel Dime H H H To get the next case start from the right and go left. Change the first H we come to to T. The first H we come to going right to left on H H H is the H under "Dime". So we change that H to T. So we have H H T There are none to the right of the one we changed, so we write that underneath and so far we have: Penny Nickel Dime H H H H H T To get the next case we again start from the right and go left on the bottom line. Change the first H you come to T. The first H we come to going right to left on H H T is the H under "Nickel". So we change that H to T. So we have H T There is one T to the right of the one we just changed, so we change that to H, getting H T H and write that underneath, and so far we we have: Penny Nickel Dime H H H H H T H T H To get the next case, start from the right and go left on the bottom line. Change the first H you come to to T. The first H we come to going right to left on H T H is the H under "Dime". So we change that H to T. So we have H T T There are none to the right of the one we changed, so we write that underneath and so far we have: Penny Nickel Dime H H H H H T H T H H T T To get the next case we again start from the right and go left. Change the first H you come to T. The first H we come to going right to left on H T T is the H under "Penny". So we change that H to T. So we have T There are two T's to the right of the one we just changed, so we change both to H, getting T H H and write that underneath, and so far we we have: Penny Nickel Dime H H H H H T H T H H T H T H H To get the next case, start from the right and go left. Change the first H you come to to T. The first H we come to going right to left on T H H is the H under "Dime". So we change that H to T. So we have T H T There are none to the right of the one we changed, so we write that underneath and so far we have: Penny Nickel Dime H H H H H T H T H H T H T H H T H T To get the next case we again start from the right and go left. Change the first H you come to T. The first H we come to going right to left on T H T is the H under "Nickel". So we change that H to T. So we have T T There is one T to the right of the one we just changed, so we change that to H, getting T T H and write that underneath, and so far we we have: Penny Nickel Dime H H H H H T H T H H T T T H H T H T T T H To get the next (final) case start from the right and go left. Change the first H you come to to T. The first H we come to going right to left on T T H is the H under "Dime". So we change that H to T. So we have T T T T T H and write that underneath, and so far we we have: Penny Nickel Dime H H H H H T H T H H T T T H H T H T T T H T T T There are no H's left in the bottom line, so we are done. Edwin