A bag contains 5 red bottles, 6 yellowbottles and 8 greenbottles . 3bottles are drawn randomly. What is the probability that thebottles drawn contain exactly two yellow bottles ?
Total number of bottles = 5 + 6 + 8 = 19 Let S be the sample space. Then, n(S) = number of ways of drawing 3 bottles out of 19 =19C3 = `(19 xx 18 xx 17)/ (3 xx 2 xx 1)` = 969 Let E = event of drawing e xactly two yellow bottles n(E) =6C2`xx` 13C1=`(6 xx 5)/(2 xx 1)` `xx` 13 = 195
