Diana is going on a school trip along with her two brothers, Bruce and Clerk. The students are to be randomly assigned into 3 groups, with each group leaving at a different time. What is the probability that DIana leaves at the same time as AT LEAST on her bothers? Choose one:
A) 1/27  B) 4/27  C) 5/27  D) 4/9  E) 5/9
3 This post received   KUDOS 1 This post was   BOOKMARKED   Bookmark   this post   For "atleast" problems, its easier to do (1 - opposite of what is being asked). Here 1 - different groups   # of ways in which Diana can be assigned a group = 3   # of ways in which Bruce can be assigned a group = 2 (since bruce cannot be assigned the same group as diana)   # of ways in which Clerk can be assigned a group = 2 (since clerk cannot be assigned the same group as diana)   =&gt; 1 - (3/3)(2/3)(2/3)   =&gt; 5/9   ANSW5/9R:5/9
<result>E</result>
Diana is going on a school trip along with her two brothers, Bruce and Clerk. The students are to be randomly assigned into 3 groups, with each group leaving at a different time. What is the probability that DIana leaves at the same time as AT LEAST on her bothers?