1、把九隻分兩組,一組6隻一組3隻
2、3隻那組任一隻和同組其他兩隻互為litter mate,6隻那組兩兩成對,分成(2、2、2)(3)這樣
3、分母為C9取2=9*8/2=36
4、分子算法:(題目問取兩隻不同窩,但用1-同窩的比較好算)取同窩者,有兩種取法
a. 從3隻那組取兩隻=C3取2=3
b. 從6隻那組任取一組的兩隻,也=C3取2=3
a+b=6
5、1-6/36=5/6,選C
6、另一種算分子法:
a. 從3隻那組取一隻再從6隻那組取一隻=C3取1*C6取1=3*6=18
b. 從6隻那組任取兩小組,再從兩小組各取一隻=C3取2*C2取1*C2取1=3*2*2=12
c. 答案=(18+12)/36=5/6
※ 引述《monstar (於是。)》之銘言:
: A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1
: littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are
: selected at random, what is the probability that both selected dogs are NOT
: littermates?
: A. 1/6
: B. 2/9
: C. 5/6
: D. 7/9
: E. 8/9
: 想不出該怎麼組合才對呀! ="=
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