The percentage of marks obtained by a student in examination are given below: Examination Subjects - Maths - Probability

Question

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

Examination Subjects

I

II

III

IV

V

% Marks

58%

64%

76%

62%

85%

Find the probability that the student gets
â€“
i) a first class in a subject i e at least 60%
marks
ii) A distinction in a subject i e at least
75% or above
iii) Marks between 70% and 80% in a
subject

Mayank Bhardwaj · Accepted Answer

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

Examination Subjects

I

II

III

IV

V

% Marks

58%

64%

76%

62%

85%

Find the probability that the student gets –

i) a first class in a subject i.e. at least 60% marks.

ii) A distinction in a subject i.e. at least 75% or above.

iii) Marks between 70% and 80% in a subject.

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

Examination Subjects	I	II	III	IV	V
% Marks	58%	64%	76%	62%	85%

Total number of subjects = 5

Number of subjects in which student got at least 60% marks = 4 (all except I)

Number of subjects in which student got at least 75% marks = 2 (III and V)

Number of subjects in which student got marks between 70% and 80% = 1 (III)

(i)

Required probability = $\frac{N u m b e r o f s u b j e c t s i n w h i c h s t u d e n t g o t a t l e a s t 60 % m a r k s}{T o t a l n u m b e r o f s u b j e c t s} = \frac{4}{5}$

(ii)

Required probability = $\frac{N u m b e r o f s u b j e c t s i n w h i c h s t u d e n t g o t a t l e a s t 75 % m a r k s}{T o t a l n u m b e r o f s u b j e c t s} = \frac{2}{5}$

(iii)

Required probability = $\frac{N u m b e r o f s u b j e c t s i n w h i c h s t u d e n t g o t m a r k s b e t w e e n 60 % a n d 80 %}{T o t a l n u m b e r o f s u b j e c t s} = \frac{1}{5}$

10

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