1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes ?
A
$${5 \over {216}}$$
B
$${25 \over {216}}$$
C
$${125 \over {216}}$$
D
$${175 \over {216}}$$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements :

1. If A and B are mutually exclusive events, then it is possible that P(A) = P(B) = 0.6

2. If A and B are any two events such that P(A / B) = 1, then P($$\overline B $$ / $$\overline A $$) = 1.

Which of the above statement is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?
A
$${2 \over 9}$$
B
$${1 \over 3}$$
C
$${4 \over 9}$$
D
$${5 \over 9}$$
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards?
A
$${1 \over 8}$$
B
$${3 \over 8}$$
C
$${1 \over 12}$$
D
$${1 \over 4}$$
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