If 5 coins are tossed simultaneously, what is the probability that at least one coin comes up heads
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If 5 coins are tossed simultaneously, what is the probability that at least one coin comes up heads

[From: ] [author: ] [Date: 11-06-13] [Hit: ]
There is a 1/2 chance of getting heads. If the coin is tossed 5 times, thats like 1/2 x 1/2 x 1/2 x 1/2 x 1/2. To find probability, you multiply the denominators (2 x 2 x 2 x 2 x 2= 32.) So the probability is 1/32.......

Alternatively, for this type of problem you can simply logic it out:

I need to get one head or more out of 5 coin tosses. The only way I will not get a SINGLE head is if all the coins land on tails. There are 2^5 (32) possible combinations so 31/32 of them will have a head or more.

If you don't know what a tree diagram is this is what yours should look like, albeit with more branches: http://cnx.org/content/m19234/latest/graphics1.png

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Well, there are 2 sides of a coin. There is a 1/2 chance of getting heads. If the coin is tossed 5 times, that's like 1/2 x 1/2 x 1/2 x 1/2 x 1/2.

To find probability, you multiply the denominators (2 x 2 x 2 x 2 x 2= 32.) So the probability is 1/32. To find the percentage, divide 1 by 32 = 0.03125 and that is closest to answer A. about 0.03.

Hope that was helpful (:

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The prob(at least one head) = p(1)+p(2)+p(3)+p(4)+p(5)
The opposite of at least one is none.
It is easier to find the prob of no heads, or all tails,
Which is (1/2)^5=1/32
so 1-1/32=31/32=.97 would be the prob of the opposite

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D. about 0.97 .
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