1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If A and B are two events such that 2P(A) = 3P(B), where 0 < P(A) < P(B) < 1, then which one of the following is correct?
A
P(A | B) < P(B | A) < P(A $$\cap$$ B)
B
P(A $$\cap$$ B) < P(B | A) < P(A | B)
C
P(B | A) < P(A | B) < P(A $$\cap$$ B)
D
P(A $$\cap$$ B) < P(A | B) < P(B | A)
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A box has ten chits numbered 0, 1, 2, 3, ......., 9. First, one chit is drawn at random and kept aside. From the remaining, a second chit is drawn at random. What is the probability that the second chit drawn is "9" ?
A
$${1 \over {10}}$$
B
$${1 \over {9}}$$
C
$${1 \over {90}}$$
D
None of these
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
One bag contains 3 white and 2 black balls, another bag contains 5 white and 3 black balls. If a bag is chosen at random and a ball is drawn from it, what is the chance that it is white?
A
$${3 \over 8}$$
B
$${49 \over 80}$$
C
$${8 \over 13}$$
D
$${1 \over 2}$$
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect to two events A and B

I. P(A occurs but not B) = P(A) $$-$$ P(B) if B $$ \subset $$ A

II. P(A alone or B alone occurs) = P(A) + P(B) $$-$$ P(A $$\cap$$ B)

III. P(A $$\cup$$ B) = P(A) + P(B) if A and B are mutually exclusive

Which of the above is/are correct?
A
Only I
B
I and III
C
II and III
D
I and II
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