1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following data for the next three (03) items that follow :

There are 90 applicants for a job. Some of them are graduates. Some of them have less than three years experience.

  Number of graduates Number of non-graduates
At least 3 years experience 18 9
Less than 3 years experience 36 27

 

Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience.

What is $P (G \cap \overline T)$ equal to?
A
$\frac{1}{5}$
B
$\frac{2}{5}$
C
$\frac{3}{5}$
D
$\frac{4}{5}$
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following data for the next three (03) items that follow :

There are 90 applicants for a job. Some of them are graduates. Some of them have less than three years experience.

  Number of graduates Number of non-graduates
At least 3 years experience 18 9
Less than 3 years experience 36 27

 

Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience.

What is $P(G | \overline T) $ equal to?
A
$\frac{2}{7}$
B
$\frac{3}{7}$
C
$\frac{4}{7}$
D
$\frac{5}{7}$
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following data for the next three (03) items that follow :

There are 90 applicants for a job. Some of them are graduates. Some of them have less than three years experience.

  Number of graduates Number of non-graduates
At least 3 years experience 18 9
Less than 3 years experience 36 27

 

Let G be the event that the first applicant interviewed is a graduate and T be the event that first applicant interviewed has at least 3 years experience.

What is $P(\overline T | \overline G)$ equal to?
A
$\frac{1}{4}$
B
$\frac{1}{3}$
C
$\frac{3}{5}$
D
$\frac{3}{4}$
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following data for the next three (03) items that follow :

The incidence of suffering from a disease among workers in an industry has a chance of $33\frac{1}{3}\%.$

What is the probability that exactly 3 out of 6 workers suffer from a disease?
A
$\frac{80}{729}$
B
$\frac{10}{81}$
C
$\frac{10}{243}$
D
$\frac{160}{729}$
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