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Mathematics 8 Online
OpenStudy (anonymous):

You toss 3 coins. What is the probability that you get exactly 2 heads, given that you get at least one tail? A tree diagram will help you to answer this question.

OpenStudy (anonymous):

I think its 3/8 but I'm not sure can anyone confirm?

OpenStudy (anonymous):

You're supposed to make it, also things like htt hhh hth serve the same purpose

OpenStudy (anonymous):

it is not 3/8 because there are not 8 elements in your sample space the "given that you get at least one tail" means that HHH is out, so there are only seven elements in your sample space

OpenStudy (anonymous):

Oh, so is it 3/7?

OpenStudy (anonymous):

7 is not such a big number that we cannot list all the possibilities

OpenStudy (anonymous):

\[HHT\\ HTH\\ THH\\ TTH\\ THT\\ HTT\\ TTT\] are the seven

OpenStudy (anonymous):

notice that HHH is missing

OpenStudy (anonymous):

of those , 3 have exactly two heads

OpenStudy (anonymous):

oh what you said ages ago \(\frac{3}{7}\)

OpenStudy (anonymous):

Yes, I do, thanks

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