1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Two distinct natural numbers from 1 to 9 are picked at random. What is the probability that their product has 1 in its unit place?
A
$\frac{1}{81}$
B
$\frac{1}{72}$
C
$\frac{1}{18}$
D
$\frac{1}{36}$
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Two dice are thrown. What is the probability that difference of numbers on them is 2 or 3 ?
A
$\frac{7}{36}$
B
$\frac{7}{18}$
C
$\frac{5}{18}$
D
$\frac{11}{36}$
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The probability that a person recovers from a disease is 0.8. What is the probability that exactly 2 persons out of 5 will recover from the disease?
A
0.00512
B
0.02048
C
0.2048
D
0.0512
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that the design is faulty is 10%. The chance that the building collapses is 95% if the design is faulty, otherwise it is 45%. If it is seen that the building has collapsed, then what is the probability that it is due to faulty design?
A
0.10
B
0.19
C
0.45
D
0.95
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