Q.

Three dice are rolled and told that exactly two of them are showing the same number. The probability of getting sum 16 is

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a

114

b

115

c

117

d

116

answer is B.

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Detailed Solution

P(E)=[sum16exactly  2 numbers  same]             = 6C1   6×C1   5×3!2!=115Sum 16={(6,6,4), (5.5,6)}=3+3=6
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Three dice are rolled and told that exactly two of them are showing the same number. The probability of getting sum 16 is