1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let a die be loaded in such a way that even faces are twice likely to occur as the odd faces. What is the probability that a prime number will show up when the die is tossed?
A
$${1 \over 3}$$
B
$${2 \over 3}$$
C
$${4 \over 9}$$
D
$${5 \over 9}$$
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let the sample space consist of non-negative integers up to 50, X denote the numbers which are multiplies of 3 and Y denote the odd numbers. Which of the following is/are correct?

1. P(X) = $${8 \over {25}}$$

2. P(Y) = $${1 \over {2}}$$

Select the correct answer using the code given below.
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For two events A and B, let $$P(A) = {1 \over 2}$$, $$P(A \cup B) = {2 \over 3}$$ and $$P(A \cap B) = {1 \over 6}$$. What is $$P(\overline A \cap B)$$ equal to ?
A
$${1 \over 6}$$
B
$${1 \over 4}$$
C
$${1 \over 3}$$
D
$${1 \over 2}$$
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let A and B be two events with $$P(A) = {1 \over 3}$$, $$P(B) = {1 \over 6}$$ and $$P(A \cap B) = {1 \over {12}}$$. What is $$P(B\,|\,\overline A )$$ equal to ?
A
$${1 \over 5}$$
B
$${1 \over 7}$$
C
$${1 \over 8}$$
D
$${1 \over 10}$$
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