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Q.

From the data given below, find the probability that a student obtained less than 20% in the mathematics test. The maximum marks that can be obtained in the test is 100.

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a

\frac{7}{20}

b

\frac{7}{90}

c

\frac{1}{90}

d

\frac{3}{70}

answer is B.

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Detailed Solution

It is given a table,
Question Image

Question Image

Probability of any event, P(E)

= \frac{n (E)}{n (S)}

Number of favourable outcomes = n(E)
Number of total outcomes = n(S)
Probability of event = P(E)
It is given that the total number of students is 90 so the total number of outcomes, n(S) = 90
20% of the total marks of the test will be,

\Rightarrow \frac{20}{100} \times 100 = 20

So, the favourable outcome is students who scored less than 20 marks.
In the table it is given that students who scored less than 20 = 7 = n(E)
Probability of event occurring will be,

\Rightarrow P (E) = \frac{n (E)}{n (S)}

\Rightarrow P (E) = \frac{7}{90}

Hence option (2) is correct.

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