[Maths]Probability

2014-02-15 3:46 am
Q: The figure shows a cumulative frequency polygon of the marks of 40 students in an English quiz. If two students are randomly selected from these 40 students to have an oral presentation, find the probability that they both get less than 60 marks in the quiz.

Ans: 34/40 x 33/39 = 187/260

Why cannot this situation be presented as 34/40 x 33/39 x 2 since there is a difference between 1st student and 2nd student who are selected?
更新1:

The question also asks for another thing: Find the probability that only one of them passes the quiz given that the passing mark for the test is 55. Ans:(16/40 x 24/39) + (24/40 x 16/39) = 32/65 Why do I have to consider about the order of student A and B in this situation?

回答 (3)

2014-02-15 9:35 pm
✔ 最佳答案
Q1 : P(they both get less than 60 marks in the quiz)= P(the 1st is less than 60 marks) x P(the 2nd is less than 60 marks)= 34/40 x 33/39= 187/260
(This answer is including AB and BA as their marks are less than 60.)
Q2 : P(only one of them passes the quiz)= P(the 1st gets 55 or above) x P(the 2nd gets below 55) + P(the 1st gets below 55) x P(the 2nd gets 55 or above)= 16/40 x 24/39 + 24/40 x 16/39= 32/65
(AB is different from BA, as A >= 55 and B < 55.)
2014-02-15 4:18 am
The question also asks for another thing: Find the probability that only one of them passes the quiz given that the passing mark for the test is 55.

Ans:(16/40 x 24/39) + (24/40 x 16/39) = 32/65

Why do I have to consider about the order of student A and B in this situation?
2014-02-15 4:13 am
'selected' 暗示咗係combination,所以唔洗理會次序。
例如AB=BA


收錄日期: 2021-04-20 14:56:06
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