SOLUTION: If a fair coin is tossed 5 times, what is the probability that the coin will land face up at least twice? I attempted this problem many times and always ended up with a large s

Algebra.Com
Question 1026941: If a fair coin is tossed 5 times, what is the probability that the coin will land face up at least twice?
I attempted this problem many times and always ended up with a large sheet of paper with many scribbles on it. I think that there are 32 total possible outcomes but I'm not sure how to calculate the probability of "at least" questions?
*sorry for the double submission, i entered the wrong email*
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
At least 2 means "2, 3, 4, and 5".
So find the probability of each and add the probabilities up.
You could also find the probability of 0 and 1, add them, and subtract by 1.
That may be the easiest way.
You're correct, there are 32 possible outcomes.
One of them is no heads.
TTTTT
So the probability of 0 heads is,

For one head, there are five possible outcomes,
HTTTT THTTT TTHTT TTTHT TTTTH
So there are 5 possible outcomes and then,

So then the added probability is,

We're looking for the complement so,
RELATED QUESTIONS

If a fair coin is tossed 5 times, what is the probability that the coin will land face up (answered by richard1234)
a fair coin was tossed 9 times and the coin landed on heads 7 times and tails twice. if... (answered by ikleyn)
A coin is tossed 9 times. What is the probability that the coin will land heads at least... (answered by stanbon,Edwin McCravy)
If a coin is tossed 7 times what is the probability that the coin will land on heads 5... (answered by robertb)
If a coin was tossed four times, what is the probability that the coin will land on heads (answered by Fombitz)
A fair coin is tossed 12 times, each time coming up heads. On the next coin toss, what is (answered by ikleyn)
A fair coin tossed 12 times. What is the porbability that the coin will land heads up on... (answered by stanbon)
A fair coin is flipped three times. Find the probability that it will come up heads at... (answered by stanbon)
A fair coin is tossed TWICE. What is the probability that you get at least ONE head? (answered by Mathtut)