Math help? <--probability?

Question

a fair coin is flipped three times. what is the probability that the coin shows tails exactly one time?

Answer 1

I really don&#039;t understand how the correct answer can have more thumbs downs than any of the incorrect ones...

Here&#039;s the explicit way: List the possible outcomes:

HHH

HHT *

HTH *

HTT

THH *

THT

TTH

TTT

The starred ones are the outcomes with exactly one tail.  Count them up: 3.  Since there are 8 total outcomes, the probability is 3/8.

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Method 2:

The probability of any one outcome happening is 1/2 * 1/2 * 1/2 = 1/8.

There are 3C1 = 3 ways to get exactly one tail.

Thus the probability of getting exactly one tail is 3*1/8 = 3/8.

Answer 2

1/2 * 1/2 * 1/2 =1/8

Answer 3

1 to 6

Answer 4

1 out of 6 - because the coin has two sides and you are flipping it three times. If you multiply 2 x 3 that gives you six.  

Answer 5

3/8