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Three children are selected at random fr...

Three children are selected at random from a group of 6 boys and 4 girls. It is known that in this group exaclty one girls and one boy belong to same parents. The probability that the selected group of children have no blood relations, is equal to :- (A) `1/15` (B) `13/15` (C) `14/15` (D) `2/15`

Text Solution

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Case 1 : `B' & G' ` both are not in group
`= .^8C_3 = (8 xx 7 xx6)/6 = 56`
Case 2: `B'` in group but `G'` is not in a group
`=.^8C_2 = 24`
Case 3: `B' ` is not in group but `G'` is in group
`.^8C_2 = 24`
total = `24 + 24 + 56 = 104`
P=`104/(.^10C_3)`
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