Two persons each makes a single throw with a pair of dice. The probability that their scores are equal is
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a
65/648
b
69/648
c
73/648
d
98/648
answer is C.
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Detailed Solution
Total number of cases =n(S)=6262=362 For favorable cases n(E) Their scores can be 2,3,4,…,12 Number of cases in which both score '2' or '12' is 1×1 Number of cases in which both score '3' or '11' is 2×2 Number of cases in which both score '4' or ' 10 ' is 3×3 Number of cases in which both score '5' or '9' is 4×4 Number of cases in which both score ' 6 ' or ' 8 ' is 5×5 Number of cases in which both score '7' is 6×6∴ Required probability, n(E)=212+22+32+42+52+62(36)2=73648