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A card is drawn from a standard deck of 52 playing cards. If the card is...

A card is drawn from a standard deck of 52 playing cards. If the card is a club, a fair coin is flipped 7 times and the number of heads flipped is noted. If it is not a club, the coin is only flipped 3 times, but this time the result of each flip is noted. The card drawn is not noted in either case. How many elements are in the sample space for this experiment?

I come up with 24+64. Club for 64. No clubs 8 each total 24.

Why is wrong?

Math   Statistics-And-Probability   
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