If two dice are thrown, then probability of getting score (sum) greater than 9 is
If two dice are thrown, then probability of getting score (sum) greater than 9 is
A) 5/6
B) 1/6
C) 13/36
D) 7/36
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Correct option is: B) \(\frac{1}{6}\)
When two dice are thrown total possible outcomes = 6 \(\times\) 6 = 36.
Outcomes favourble to event of getting sum greater than 9 are {(4, 6), (5, 5), (6, 4), (5, 6), (6, 5), (6, 6)}.
\(\therefore\) Total favourable outcomes = 6
\(\therefore\) Probability of getting sum greater than 9 is
P = \(\frac {Total \, favourable \, outcome}{Total\, possible \, outcomes}\) = \(\frac {6}{36} = \frac 16\)
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