Probability · NDA previous year questions

353 questions asked across 18 exam years, newest first

Year-wise papers Topic-wise questions

Practise this topic

2010 12 questions

Q1002010 · 22 Aug 2010
What is the probability of having $53$ Sundays or $53$ Mondays in a leap year?
1. A. $2/7$
2. B. $3/7$
3. C. $4/7$
4. D. $5/7$
Show answer
Answer: B
Q1012010 · 22 Aug 2010
Three digital numbers are formed using the digits $0, 2, 4, 6, 8$ . A number is chosen at random out of these numbers. What is the probability that the number has the same digits?
1. A. $1/16$
2. B. $1/25$
3. C. $16/25$
4. D. $1/645$
Show answer
Answer: B
Q1082010 · 22 Aug 2010
A lot of $4$ white and $4$ red balls is randomly divided into two halves. What is the probability that there will be $2$ red and $2$ white balls in each half?
1. A. $18/35$
2. B. $3/35$
3. C. $1/2$
4. D.None of the above
Show answer
Answer: A
Q1162010 · 22 Aug 2010
Consider the following statements : If $A$ and $B$ are independent events, then 1. $A$ and $\overset{ˉ}{B}$ are independent 2. $\overset{ˉ}{A}$ and $B$ are independent 3. $\overset{ˉ}{A}$ and $\overset{ˉ}{B}$ are independent Which of the above statements is/are correct?
1. A. $3$ only
2. B. $1$ and $2$ only
3. C. $1, 2$ and $3$
4. D.None of the statements $1, 2$ and $3$ is correct
Show answer
Answer: C
Q192010 · 18 Apr 2010
Consider the following statements: 1. The probability that there are 53 Sundays in a leap year is twice the probability that there are 53 Sundays in a non-leap year. 2. The probability that there are 5 Mondays in the month of March is thrice the probability that there are 5 Mondays in the month of April. Which of the statements given above is/are correct?
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
Show answer
Answer: A
Q232010 · 18 Apr 2010
In tossing three coins at a time, what is the probability of getting at most one head?
1. A. $\frac{3}{8}$
2. B. $\frac{7}{8}$
3. C. $\frac{1}{2}$
4. D. $\frac{1}{8}$
Show answer
Answer: C
Q252010 · 18 Apr 2010
Two balls are selected from a box containing 2 blue and 7 red balls. What is the probability that at least one ball is blue?
1. A. $\frac{2}{9}$
2. B. $\frac{7}{9}$
3. C. $\frac{5}{12}$
4. D. $\frac{7}{12}$
Show answer
Answer: C
Q262010 · 18 Apr 2010
If the equation $x^{2} - b x + 1 = 0$ does not possess real roots, then which one of the following is correct?
1. A. $- 3 < b < 3$
2. B. $- 2 < b < 2$
3. C. $b > 2$
4. D. $b < - 2$
Show answer
Answer: B
Q272010 · 18 Apr 2010
The probability of guessing a correct answer is $\frac{x}{12}$ . If the probability of not guessing the correct answer is $\frac{2}{3}$ , then what is x equal to?
1. A.2
2. B.3
3. C.4
4. D.6
Show answer
Answer: C
Q282010 · 18 Apr 2010
If the system of equations $2 x + 3 y = 7$ and $2 a x + (a + b) y = 28$ has infinitely many solutions, then which one of the following is correct?
1. A. $a = 2 b$
2. B. $b = 2 a$
3. C. $a = - 2 b$
4. D. $b = - 2 a$
Show answer
Answer: B
Q672010 · 18 Apr 2010
An observed event $B$ can occur after one of the three events $A_{1}, A_{2}, A_{3}$ . If $P (A_{1}) = P (A_{2}) = 0.4$ , $P (A_{3}) = 0.2$ and $P (B ∣ A_{1}) = 0.25$ , $P (B ∣ A_{2}) = 0.4$ , $P (B ∣ A_{3}) = 0.125$ , what is the probability of $A_{1}$ after observing $B$ ?
1. A.1/3
2. B.6/19
3. C.20/57
4. D.2/5
Show answer
Answer: C
Q1072010 · 18 Apr 2010
The probability distribution of random variable X with two missing probabilities $p_{1}$ and $p_{2}$ is given below: $X 12345 P(X) k p_{1} 4 k p_{2} 2 k$ It is further given that $P (X \leq 2) = 0.25$ and $P (X \geq 4) = 0.35$ . Consider the following statements: 1. $p_{1} = p_{2}$ 2. $p_{1} + p_{2} = P (X = 3)$ Which of the statements given above is/are correct?
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
Show answer
Answer: A