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1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?
A
$${1 \over 2}$$
B
$${1 \over 3}$$
C
$${1 \over 4}$$
D
$${1 \over 6}$$
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If A, B and C are three events, then what is the probability that at least two of these events occur together?
A
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A)
B
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ P(A $$\cap$$ B $$\cap$$ C)
C
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ 2P(A $$\cap$$ B $$\cap$$ C)
D
P(A $$\cap$$ B) + P(B $$\cap$$ C) + P(C $$\cap$$ A) $$-$$ 3P(A $$\cap$$ B $$\cap$$ C)
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Two independent events A and B are such that P(A $$\cup$$ B) = $${2 \over 3}$$ and P(A $$\cap$$ B) = $${1 \over 6}$$. If P(B) < P(A), then what is P(B) equal to ?
A
$${1 \over 4}$$
B
$${1 \over 3}$$
C
$${1 \over 2}$$
D
$${1 \over 6}$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If two fair dice are rolled, then what is the conditional probability that the first dice lands on 6, given that the sum of numbers on the dice is 8 ?
A
$${1 \over 3}$$
B
$${1 \over 4}$$
C
$${1 \over 5}$$
D
$${1 \over 6}$$
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