10. The percentage of marks obtained by a student in the monthly unit tests are given below.
Unit Test
Percentage of marks obtained
1
11
IV
v
loo
74
58
85
76
62
Find the probability that the students gets:
1.
2.
3.
a first class i.e. at least 60% marks
marks between 70% and 80%
a distinction i.e. 75% or above
less than 65% marks
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(i) Number of tests in which the student scored more than 70% marks = 3
∴ P(more than 70% marks) = 3/6 = 1/2
(ii) Number of tests in which the student scored less than 70% marks = 3
∴ P(less than 70% marks) = 3/6 = 1/2
(iii) Number of tests in which the student scored at least 60% marks = 5
∴ P(at least 60% marks) = 5/6
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