Place six coins on the table in the arrangement shown in the first row below...
Start like this...head tales head tales head tales
Your task is to produce the second arrangement shown by flipping coins according to thsi rule: you must flip two adjacent coins at a time.
End up like this....heads heads heads tale tale tale....
This is so confusing
I understand that the task might seem confusing at first, but I can break it down for you. Let's go step by step to make it clearer.
The first arrangement you have is: head, tails, head, tails, head, tails. The goal is to end up with the second arrangement: heads, heads, heads, tails, tails, tails.
To achieve this, you need to flip two adjacent coins at a time. Let's label the coins from left to right as coin 1, coin 2, coin 3, coin 4, coin 5, and coin 6.
Start with the initial arrangement: head, tails, head, tails, head, tails.
To get the second arrangement: heads, heads, heads, tails, tails, tails, you can follow these steps:
1. Flip coins 1 and 2 together.
New arrangement: tails, head, head, tails, head, tails.
2. Flip coins 2 and 3 together.
New arrangement: tails, tails, head, tails, head, tails.
3. Flip coins 3 and 4 together.
New arrangement: tails, tails, tails, head, head, tails.
4. Flip coins 4 and 5 together.
New arrangement: tails, tails, tails, tails, head, head.
5. Flip coins 5 and 6 together.
New arrangement: tails, tails, tails, tails, tails, head.
Now, you have successfully transformed the initial arrangement into the desired arrangement.
I hope this explanation helps you understand the process better.