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Standard IX

Mathematics

Experimental/Empirical Probability

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Question

There are $40$ students in a class and their results is presented as below :
Result (Pass/Fail) Pass Fail
Number of Students $30$ $10$
If a student chosen at random out of the class, find the probability that the student has passed the examination

0.12

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0.36

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0.65

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0.75

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Solution

The correct option is D $0.75$
Total number of chances $= 40$
Chances or trials which favour a student to pass $= 30$
The probability of the required event, i.e., the student has passed the examination $=$ $\frac{30}{40}$ $= 0.75$

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Similar questions

There are $40$ students in a class and their results is presented as below :

Result (Pass/Fail)	Pass	Fail
Number of Students	$30$	$10$

If a student chosen at random out of the class, find the probability that the student has passed the examination.

Q. There are

50

students in a class and their results is below:

Result (Pass/Fail)	Pass	Fail
No. of students	$35$	$15$

If a student chosen at random out of the class (i.e., without any bias), find the probability that the student is not failing (i.e., the student passed the examination).

Q. There are 30 students in a class and their results are presented as below:

\begin{matrix} Result & Pass & Fail Number of students & 25 & 5 \end{matrix}

If a student is taken at random, find the probability that the student has failed the examination.

Q. There are

n

students in a class and probability that exactly

λ

out of

n

pass the examination is directly proportional to

λ^{2} (0 \leq λ \leq n)

. Find out the probability that a student selected at random has passed the examination.

Q. In a class of

10

students, probability of exactly

i

students passing examination is directly proportional to

i^{2}

. If a student selected at random is found to have passed the examination, then the probability that he was the only student who has passed the examination is

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There are 40 students in a class and their results is presented as below :Result (Pass/Fail)PassFailNumber of Students3010 If a student chosen at random out of the class, find the probability that the student has passed the examination

The correct option is D 0.75Total number of chances =40Chances or trials which favour a student to pass =30The probability of the required event, i.e., the student has passed the examination = 3040 =0.75

There are $40$ students in a class and their results is presented as below :
Result (Pass/Fail) Pass Fail
Number of Students $30$ $10$
If a student chosen at random out of the class, find the probability that the student has passed the examination

The correct option is D $0.75$
Total number of chances $= 40$
Chances or trials which favour a student to pass $= 30$
The probability of the required event, i.e., the student has passed the examination $=$ $\frac{30}{40}$ $= 0.75$