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Two dice are thrown. Find the odds in favour of getting the sum 4.

(a) 1 : 11 

(b) 11 : 1 

(c) 4 : 11 

(d) 11: 4

1 Answer

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(a) 1 : 11

Total number of exhaustive cases = 6 × 6 = 36 A sum of 4 can be obtained as (1, 3) (2, 2) (3, 1) Therefore, there are 3 favourable outcomes and (36 – 3) = 33 unfavourable outcomes.

\(\therefore\) Odds in favour of sum of 4= \(\frac{3}{33}\) = \(\frac{1}{11}\)

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