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
HTHTHT
FLIP 2,3
HHTTHT
FLIP 3,4
HHHHHT
FLIP 4,5
HHHTTT
thats all...how did u get it...were u just playing with it to get the answers
I understand that the process of flipping the coins to achieve the desired arrangement may seem confusing. Let me explain it step by step to make it clearer:
1. Start with the initial arrangement of six coins in the first row, following the pattern of "head, tail, head, tail, head, tail."
2. To achieve the second arrangement of "heads, heads, heads, tails, tails, tails," you need to flip two adjacent coins at a time.
3. Identify two adjacent coins that you want to flip. In this case, you want to flip the third and fourth coins.
4. Flip the third and fourth coins simultaneously. This means you turn both coins over at the same time.
5. After flipping the third and fourth coins, the arrangement will change. Now it should be "head, tail, tail, head, head, tail."
6. Repeat steps 3 to 5 until you achieve the desired arrangement "heads, heads, heads, tails, tails, tails." In this case, you need to flip the second and third coins, then the fourth and fifth coins.
7. After flipping the second and third coins, the arrangement will be "head, head, tail, head, head, tail."
8. Finally, flip the fourth and fifth coins, resulting in the desired arrangement of "heads, heads, heads, tails, tails, tails."
Remember, the key is to identify two adjacent coins and flip them simultaneously. By repeating this process, you should be able to reach the desired arrangement.