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Introduction To Mathematical Modelling

Question
CBSEENMA9004009

The percentages of marks obtained by a student in examination are given below:

Examination

subjects

% marks

I

58

11

64

III

76

IV

62

V

85

Find the probability that the student gets

(i)   a first class i.e. at least 60% marks
(ii)  a distinction i.e. 75% or above
(ii)  marks between 70% and 80%.

Solution

Total number of subjects = 5

(i) Number of subjects in which the student gets a first class = 4

∴ Probability that the students gets a first class equals 4 over 5

(ii) Number of subjects in which the student gets a distinction = 2

∴ Probability that the student gets a distinction = 2 over 5

(iii) Number of subjects in which the student gets marks between 70% and 80% = 2

∴ Probability that the students gets marks between 70% and 80% = 2 over 5