Marge correctly guessed whether a fair coin turned up "heads" or "tails" on sic consecutive flips. What is the probability that she will correctly guess the outcome of the next coin toss?

The probability of guessing a coin flip outcome is 0.5 (50%) and it is independent of the outcome of the previous flips:

P (guessing the 7th flip, after six consecutive flips) = 0.5

Also, we can use the compound probability, which can be found by simply multiplying the probabilities of each event:

P (guessing 7 in a row) = 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5 * 0.5

= (0.5) ⁷

= 0.0078

Hence, the probability that Marge correctly guesses the 7th flip is still 50%, but in general, the probability of guessing 7 consecutive flips is 0.78%.