Question

In a class , there are 15 boys and 10girls / three students are selected at random . The probability that I girl and 2 boys are selected , is , A. 21 46 B. 25 117 C. 1 50 D. 3 25 Select the correct answer from above options

Answer 1

Correct Answer - A Let S be the sample space and E be the event of selecting 1girl and 2 boys . then n(S) =Number ways of selecting 3 students out of 25 = 25 C 3 = = ( 25 × 24 × 23 ) ( 3 × 2 × 1 ) = 2300 . = also ,n(E) = ( 10 C 1 × 15 C 2 ) = = [ 10 × 15 × 14 2 × 1 ] = = 1050 . = ∴ P ( E ) = n ( E ) n ( S ) = 1050 2300 = 21 46 ∴