| Two dices are thrown simultaneously. What is the probability of obtaining a total score of seven? |
A) \[\frac{1}{6}\]
B) \[\frac{1}{3}\]
C) \[\frac{1}{4}\]
D) \[\frac{2}{3}\]
Correct Answer: A
Solution :
| Total score of seven can be obtained, when the two dice on rolling simultaneously shows the result \[(1,6),\]\[(2,5),\]\[(3,4),\]\[(4,3),\]\[(5,2)\]and \[(6,1)\] |
| \[\therefore \] \[n\,\,(E)=6\] |
| Total number of possible outcomes are |
| \[=6\times 6=36=\,\,n\,\,(S)\] |
| \[P\,\,(A)=\frac{n\,\,(E)}{n\,\,(S)}=\frac{6}{36}=\frac{1}{6}\] |
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