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Mathematics 21 Online
OpenStudy (anonymous):

why wont anyone answer my question i posted

OpenStudy (anonymous):

OpenStudy (anonymous):

the quarter shows head one half of the time i.e. \(\frac{1}{2}\)

OpenStudy (anonymous):

only one coin shows head 8 possibilties all together h, h ,h h, h , t h, t, h t, h, h h, t, t t, h, t t, t, h t, t, t

OpenStudy (anonymous):

out of those 8 equally likely possibilities, three have only one head so second one is \(\frac{3}{8}\)

OpenStudy (anonymous):

For the first problem if the quarter is heads, then the nickel can be head or tails and the same for the penny so there are 4 possible events that the quarter comes up heads. So we have 4/{total # of events} = P(Quarter is heads). Now the problem is, "what is the total # of events?" For that, we just need to consider is the quarter comes up tails. In this case there are the same 4 events as when it came up heads, i.e. 4. So we have 4/8 = 1/2 = P (Quarter is heads). Using this as an example try solving the others

OpenStudy (anonymous):

penny and nickel show heads if the list i wrote above represent Q, N, P then there are two that fit the bill h, h, h t, h, h

OpenStudy (anonymous):

thank you!!!!

OpenStudy (anonymous):

answer to the third one is therefore \[\frac{2}{8}=\frac{1}{4}\]

OpenStudy (anonymous):

all three coins land the same side two fit that bill h, h, h t, t, t so again \(\frac{2}{8}=\frac{1}{4}\) now it should be routine right?

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