Question
In a class , there are 15 boys and 10 girls . Three students are selected at random . The probability that 1 girl and 2 boys are selected , is :
Answer: Option A
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Let S be the sample space and E be he event of selecting 1 girl and 2 boys. Then
n(S) = Number of ways of selecting 3 students out of 25.
= `25_(C_3) = (( 25 xx 24 xx 23))/((3 xx 2 xx 1))` = 2300
n(E) = `(10_(C_1) xx 15_(C_2)) = { 10 xx ((15 xx 14))/((2 xx 1))}` = 1050.
`:.` P(E) = `(n(E))/(n(S)) = 1050/2300 = 21/46`
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