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There are three coins. One is a two head...

There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads `75%` of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it is was the two headed coin?

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Let, `E_1= ` two headed coin chosed
`E_2= ` biased coin chosed
`E_3= ` unbiased coin chosed
Theses are mutually and excluvise events.
`P(E_1)=P(E_2)=P(E_3)=1/3` `E=` head showing coin
`P(E)/(E_1)=1`
`P(E)/(E_2)=3/4`
...
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