1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of the same colour?

A

$\frac{1}{6}$

B

$\frac{5}{108}$

C

$\frac{4}{9}$

D

$\frac{5}{18}$

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If a random variable $(x)$ follows binomial distribution with mean 5 and variance 4 , and $5^{23} P(X=3)=\lambda 4^\lambda$, then what is the value of $\lambda$ ?
A

3

B

5

C

23

D

25

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

If the letters of the word 'TIRUPATI' are written down at random, then what is the probability that both Ts are always consecutive?

A

$\frac{1}{2}$

B

$\frac{1}{4}$

C

$\frac{1}{7}$

D

$\frac{1}{14}$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

Let $m = 77^n$. The index $n$ is given a positive integral value at random. What is the probability that the value of $m$ will have $1$ in the units place?

A

$\frac{1}{2}$

B

$\frac{1}{3}$

C

$\frac{1}{4}$

D

$\frac{1}{n}$

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