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1/20/2011

insane probability question.

i have come accross quite a hard question in my secondary life. it took me a lot of time solving this in form 7 and perhaps it would be good for me to share and see what kind of new method we can come accross with this.

there are six couples inside a room. if two are selected at random, what is the probability that they are
 (a) (i) husband and wife,
       (ii)one mand and one woman?

(b) if four are selected at random, what is the probability that those who selected containing:
      (i) two couples,
      (ii) exactly one of the couple?

(c) if they are regrouped into six groups, what is the probability that
      (i)  each group is a couple,
      (ii) each group contains one man and one woman,
      (iii)teach group is of the same sex?

haha. thats hard enough for me.

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