Probability

2007-05-31 5:06 am
Two dice are thrown simultaneously and the scores are the numbers shown on the dice.
Find the probability that (a) the sum of the two scores is 8, (b) the difference of the two
scores is 2, (c) the product of the two scores is a multiple of 4, (d) the sum of the two
scores is 8 and the difference of the two scores is 2, (e) the difference of the two scores is 2 and the product of the two scores is a multiple of 4.

麻煩清楚解釋下,特別係(b)同(d),(e)

回答 (2)

2007-06-01 12:10 am
✔ 最佳答案
There are 36 combinations of results after throwing two dices, from 11, 12......66
a. There are 5 possibilities to have the sum of two scores is 8: 26, 35, 44, 53, 66,
and so the probability = 5/26
b. There are 8 possibilities to have the difference of two scores is 2: 13, 24, 31, 35, 42, 46, 53, 64
and so the probability = 8/36 = 2/9
c. There are 15 possibilities to have the product of two scores is a mutliple of 4: 14 22, 24, 26, 34, 41,42,43,44,45,46,54, 62, 64, 66
and so the probability = 15/36 = 5/12
d. There are 2 possibilities to have sum of the two scores is 8 and the difference of the two scores is 2: 35, 53
and so the probability = 2/36 = 1/18
e. There are 4 possibilities to have the difference of two scores is 2 and the product of the two scores is a multiple of 4: 24, 42, 46, 64
and so the probability = 4/36 = 1/9
2007-05-31 5:39 am
你列出黎慢慢數都得嘛

a)

6 x
5  x
4   x
3    x
2     x

 123456

p = 5/36

b)

6   x
5  x
4 x   x
3x   x
2   x
1  x
 123456

p = 8/36 = 2/9

c)



4x

2 x
1   x
 123456

p = 3/36 = 1/12

d)
睇返(a)同(b)個圖,睇下邊點重叠

e)
睇返(b)同(c)個圖,睇下邊點重叠


收錄日期: 2021-04-18 22:22:14
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20070530000051KK03959

檢視 Wayback Machine 備份