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Two dice are thrown. Find (i) the odds in favour of getting the sum 6 (ii) the odds against getting the sum 7 Select the correct answer from above options

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Correct Answer - (i)5:31(ii)5:1 n(S)=(6×6)=36 . (i) Let E1 = event of getting the sum 6 ={(1,5),(2,4),(3,3),(4,2),(5,1)} ⇒n(E1)=5. Thus, E1 occurs in 5 ways and does not occur in (36 - 5) = 31 ways. ∴ odds in favour of getting the sum 6=5:31. (ii) Let E2 = event of getting the sum 7 ={(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)} ⇒n(E2)=6 . Thus, E2 occurs in 6 ways and does not occur in (36 - 60 = 30 ways. ∴ odds against getting the sum 7=30:6=5:1 .

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