Binomial distributions

If I'm tossing 4 pennies at once, and then recording how many heads there came out to be 32 times, is that a Binomial experiment?

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It is not a binomial experiment (more than one outcome), nor is it a sequence of $128$ binomial experiments (we are recording the wrong things). –  André Nicolas Jan 7 '12 at 0:53

On the other hand, if the 4 pennies were tossed $N$ times, resulting in a record of $4N$ Heads and Tails, then (assuming fair coins, independent tosses etc), $$P\{32~\text{Heads}\} = \binom{4N}{32}2^{-4N}=\binom{M}{32}2^{-M}$$ is a "binomial" probability –  Dilip Sarwate Jan 6 '12 at 23:57
The number of heads you get each time you toss four pennies is either $0$, $1$, $2$, $3$, or $4$, and its probability distribution is a binomial distribution. If I understand you correctly, you're doing that 32 times, and recording each time how many heads you get. However, the term "binomial experiment" usually means something with only two possible outcomes. So when you toss one penny, that's a binomial experiment.