NDA Mathematics 16 April 2023 | Probability Question 28 | Mathematics

Let X and Y be two random variables such that X + Y = 100. If X follows Binomial distribution with parameters n = 100 and p = $\frac{4}{5}$, what is the variance of Y?

$\frac{1}{2}$

$\frac{1}{16}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first bag and put it into the second bag and then a ball is drawn from the second bag. What is the probability that it is white ?

$\frac{6}{7}$

$\frac{32}{70}$

$\frac{3}{10}$

$\frac{1}{70}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Three dice are thrown. What is the probability that each face shows only multiples of 3 ?

$\frac{1}{9}$

$\frac{1}{18}$

$\frac{1}{27}$

$\frac{1}{3}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

What is the probability that the month of December has 5 Sundays ?

$\frac{1}{4}$

$\frac{3}{7}$

$\frac{2}{7}$

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