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A die is thrown three times. Show the probability of scoring a $2$ on just one occasion in the probability tree diagram.

My attempt enter image description here

Please somebody check it. Is this correct? or are there any other alternatives?

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  • $\begingroup$ this m,ethod is inefficient. $\binom{3}{1}\frac{1}{6}^{1}\cdot\frac{5}{6}^2$ $\endgroup$ – SAJW Jan 21 '17 at 3:41
  • $\begingroup$ But, I do need to draw the tree diagram as well $\endgroup$ – pi-π Jan 21 '17 at 3:42
  • $\begingroup$ @ThomasAndrews fair enough $\endgroup$ – SAJW Jan 21 '17 at 3:43
  • $\begingroup$ @NeWtoN your result is right, so i guess all is cool? $\endgroup$ – SAJW Jan 21 '17 at 3:43
  • $\begingroup$ @Socrates, however the answer given in my book is $\frac {1}{8}$ $\endgroup$ – pi-π Jan 21 '17 at 3:44
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Your diagram and answer is correct. If we cross check answer you obtained from tree diagram with the method suggested by Socrates we get the same answer.

Maybe answer in book is wrong or something missing in question in the book.

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