A group of people draw a card at random from a pack of 52 playing cards in turn without replacement. A draws first, then B, and then C, etc.The one who draws a "K" first wins the game. Find the probability of each of the following events, correct to 3 significant figures.
(a) C( the 3rd person drawing a card) wins.
Answer: 0.0681
(b) One of A,B or C ( the first 3 persons drawing a card) wins.
Answer: 0.217
Explain please!! Thank you
Maths:More About Protability
2010-12-13 2:52 am
回答 (2)
2010-12-13 3:06 am
✔ 最佳答案
a)P (C win)= P(A do not draw a K) * P(B do not draw a K) * P(C draw a K)= (52 - 4)/52 * (51 - 4)/51 * 4/50= 48/52 * 47/51 * 4/50= 0.0681b)P (A , B or C win)= P(A win)
+ P(A lose and B win)
+ P(A lose , B lose and C win)= P(A draw a K)
+ P(A do not draw a K) * P(B draw a K)
+ P(A do not draw a K) * P(B do not draw a K) * P(C draw a K)= 4/52
+ 48/52 * 4/51
+ 48/52 * 47/51 * 4/50= 0.217
2010-12-13 3:28 am
Alternative:
(b) 1 - (48/52)(47/51)(46/50)
(b) 1 - (48/52)(47/51)(46/50)
收錄日期: 2021-04-13 17:41:48
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20101212000051KK01096