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Question: Answered & Verified by Expert
Two fair dice are rolled. The probability of the sum of digits on their faces to be greater than or equal to 10 is
MathematicsProbabilityAP EAMCETAP EAMCET 2013
Options:
  • A $\frac{1}{5}$
  • B $\frac{1}{4}$
  • C $\frac{1}{8}$
  • D $\frac{1}{6}$
Solution:
2934 Upvotes Verified Answer
The correct answer is: $\frac{1}{6}$
Total samle points, $n(S)=6 \times 6=36$
Favourable events
$$
=[(6,4),(6,5),(6,6),(5,5),(5,6),(4,6)]
$$
Total favourable events, $n(E)=6$
Required probability
$$
=\frac{n(E)}{n(S)}=\frac{6}{36}=\frac{1}{6}
$$

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