# Refer to Table 14.7, Chapter $14 .$(i) Find the probability that a student obtained less than $20 \%$ in the mathematics test.(ii) Find the probability that a student obtained marks 60 or above.

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To do:

We have to find

(i) The probability that a student obtained less than $20 \%$ in the mathematics test.
(ii) The probability that a student obtained marks 60 or above.

Solution:

 Marks Number of students 0-20 7 20-30 10 30-40 10 40-50 20 50-60 20 60-70 15 70-above 8 Total 90

The total number of students $=90$

We know that,

Probability of an event=$\frac{\text { Number of favourable outcomes }}{\text { Total number of outcomes }}$

Therefore,

(i) Number of students who obtained less than $20 \%$ in the mathematics test $= 7$

This implies,

The probability that a student obtained less than $20 \%$ in the mathematics test $= \frac{7}{90}$

(ii) Number of students who obtained marks 60 or above $= 15+8$

$= 23$

This implies,

The probability that a student obtained marks 60 or above $= \frac{23}{90}$

Updated on 10-Oct-2022 13:47:37