Probability · NDA previous year questions

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2009 12 questions

Q842009 · 30 Aug 2009
Three letters are randomly selected from the 26 capital letters of the English Alphabet. What is the probability that the letter 'A' will not be included in the choice ?
1. A.1/2
2. B.23/26
3. C.12/13
4. D.25/36
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Answer: B
Q852009 · 30 Aug 2009
A coin is tossed 10 times. The number of heads minus the number of tails in 10 tosses is considered as the outcome of the experiment. What is the number of points in the sample space ?
1. A.10
2. B.11
3. C.21
4. D.99
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Answer: B
Q892009 · 30 Aug 2009
Two numbers are successively drawn from the set ${1, 2, 3, 4, 5, 6, 7}$ without replacement and the outcomes recorded in that order. What is the number of elementary events in the random experiment ?
1. A.49
2. B.42
3. C.21
4. D.14
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Answer: B
Q902009 · 30 Aug 2009
The probabilities of two events $A$ and $B$ are given as $P (A) = 0.8$ and $P (B) = 0.7$ . What is the minimum value of $P (A \cap B)$ ?
1. A.0
2. B.0.1
3. C.0.5
4. D.1
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Answer: C
Q912009 · 30 Aug 2009
Two numbers $X$ and $Y$ are simultaneously drawn from the set ${1, 2, 3, 4, 5, 6, 7, 8, 9, 10}$ . What is the conditional probability of exactly one of the two numbers $X$ and $Y$ being even, given $(X + Y) = 15$ ?
1. A.1
2. B.3/4
3. C.1/2
4. D.1/4
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Answer: A
Q1022009 · 19 Apr 2009
If $A, B, C$ are any three arbitrary events, then which one of the following expressions shows that both $A$ and $B$ occur but not $C$ ?
1. A. $A \cap \overline{B} \cap \overline{C}$
2. B. $A \cap B \cap \overline{C}$
3. C. $A \cap B \cap C$
4. D. $A \cap \overline{B} \cap C$
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Answer: B
Q1042009 · 19 Apr 2009
By Bayes' theorem, which one of the following probabilities is calculated?
1. A.Prior probability
2. B.Likelihood probability
3. C.Posterior probability
4. D.Conditional probability
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Answer: C
Q1052009 · 19 Apr 2009
Given that $P (A) = 1/3$ , $P (B) = 1/4$ , $P (A ∣ B) = 1/6$ , then what is $P (B ∣ A)$ equal to?
1. A. $1/4$
2. B. $1/8$
3. C. $3/4$
4. D. $1/2$
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Answer: B
Q1062009 · 19 Apr 2009
If $A$ and $B$ are two mutually exclusive and exhaustive events with $P (B) = 3 P (A)$ , then what is the value of $P (\overline{B})$ ?
1. A. $3/4$
2. B. $1/4$
3. C. $1/3$
4. D. $2/3$
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Answer: B
Q1072009 · 19 Apr 2009
Two dice are thrown. What is the probability that the sum of the faces equals or exceeds 10?
1. A.1/12
2. B.1/4
3. C.1/3
4. D.1/6
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Answer: D
Q1082009 · 19 Apr 2009
For a binomial distribution $b (n, p)$ , $n p = 4$ and $variance = 4/3$ . What is the probability $P (x \geq 5)$ equal to?
1. A. $(2/3)^{6}$
2. B. $2^{5} / 3^{6}$
3. C. $(1/3)^{6}$
4. D. $2^{8} / 3^{6}$
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Answer: D
Q1132009 · 19 Apr 2009
When a card is drawn from a well-shuffled pack of cards, what is the probability of getting a Queen?
1. A.2/13
2. B.1/13
3. C.1/26
4. D.1/52
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Answer: B