It is illustrative to show the kth draw's probability is a/(a+b).
Method 1: sample space S=(w1,w2,...wa;r1,r2,...rb),E=(w1,w2...wa) P(E)=C(E)/C(S)=a/a+b
Method 2: taking k balls means a permatation from P(a+b,k).The last is white, number is (a/(a+b))*P(a+b,k).So,P(E)=(a/(a+b))*P(a+b,k)/P(a+b,k)=a/a+b.
回複:回複:explain pls:)
所有跟帖:
• 謝謝jinjing(進京考試?)。久仰你的大名,大俠! -戲雨飛鷹- ♀ (0 bytes) () 01/11/2010 postreply 09:47:29
• 回複:謝謝jinjing(進京考試?)。久仰你的大名,大俠! -jinjing- ♀ (140 bytes) () 01/11/2010 postreply 11:01:38
• 謝謝你,數學master:) -戲雨飛鷹- ♀ (0 bytes) () 01/11/2010 postreply 13:08:04
• 對了,我還把你給的那個公式告訴了朋友: -戲雨飛鷹- ♀ (75 bytes) () 01/11/2010 postreply 09:51:15
• 回複:對了,我還把你給的那個公式告訴了朋友: -jinjing- ♀ (146 bytes) () 01/11/2010 postreply 11:20:47
• thanks, jinjing. -戲雨飛鷹- ♀ (0 bytes) () 01/11/2010 postreply 13:06:29