>No they aren't independent in both cases. When you toss 2 coins, you have more possibilities than when you toss 1 coin. When you toss one coin at a time, they are independent events, but when you toss them together they represent 1 single event. The possibilities become:
>
>T/H
>H/T
>T/T
>H/H
>
>In other words 1 chance in 4 of them both coming up heads.
>
>In a single coin toss the chances are
>T
>H
>
>1 chance in 2 of coming up a head. If it comes up a head, then the odds of tossing another head are still 1 in 2. In other words, the odds don't become less just because the 1st toss was a head.
>

All of that is correct, except that when you toss two in a row, the set of possible outcomes is exactly the same as when you toss two at the same time.

Tamar