SOLUTION: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least one head if you flip the coin six times?

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Question 1192178: Suppose you flip a coin and keep a record of the results. In how many ways could you obtain at least one head if you flip the coin six times?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Suppose you flip a coin and keep a record of the results.
In how many ways could you obtain at least one head if you flip the coin six times?
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Flipping a coin six times, you may have   = 64 different records.


Of these 64 different records, only one record will not have heads, at all: it is the record of six T

    T T T T T T.


All other 64-1 = 63 records will have at least one head.


ANSWER.  63 of 64 different records will have at least one head.

Solved.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


There are 2 possible outcomes on each flip, so the number of possible outcomes on 6 flips is 2^6 = 64.

There is only one way to NOT get at least one head -- get tails all 6 times.

So there are 64-1=63 ways to get at least one head when a coin is flipped 6 times.

ANSWER: 63
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