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 :

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 no one out of 6 workers suffers from a disease?
A
$\frac{665}{729}$
B
$\frac{64}{729}$
C
$\frac{4}{243}$
D
$\frac{1}{729}$
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 :

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 at least one out of 6 workers suffer from a disease ?
A
$\frac{728}{729}$
B
$\frac{665}{729}$
C
$\frac{653}{729}$
D
$\frac{596}{729}$
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let two events A and B be such that P(A) = L and P(B) = M. Which one of the following is correct?
A
$P(A|B)<\dfrac{L+M-1}{M}$
B
$P(A|B)>\dfrac{L+M-1}{M}$
C
$P(A|B)\ge\dfrac{L+M-1}{M}$
D
$P(A|B)=\dfrac{L+M-1}{M}$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $\rm P(A\cup B)=\dfrac{5}{6}, P(A\cap B)=\dfrac{1}{3}\:and\:P(\bar A)=\dfrac{1}{2}$, then which of the following is/are correct?

1. A and B are independent events.

2. A and B are mutually exclusive events.

Select the correct answer using the code given below.

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
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