In a department store prize box, 40% of the notes give the winner a dreamy vacation; the other notes are blank. What is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation?	Choose the correct choice from the following answers:
A) 0.12	B) 0.23	C) 0.35	D) 0.45	E) 0.65
The probability of winning is 40% = 40/100 = 2/5.   The probability of NOT winning is 60% = 3/5.   P(WWWNN)=5!3!2!∗(25)3∗(35)2=144625≈23P(WWWNN)=5!3!2!∗(25)3∗(35)2=144625≈23 (we multiply by 5!3!2!5!3!2!, because WWWNN scenario can occur in several ways: WWWNN, WWNWN, WNWWN, NWWWN, ... the # of such cases basically equals to the # of permutations of 5 letters WWWNN, which is 5!3!2!5!3!2!).   Answer: 0.23.
<result>B</result>
In a department store prize box, 40% of the notes give the winner a dreamy vacation; the other notes are blank. What is the approximate probability that 3 out of 5 people that draw the notes one after the other, and immediately return their note into the box get a dreamy vacation?