NDA Mathematics 13 April 2025 | Probability Question 95 | Mathematics

Consider the following for the two (02) items that follow:
Let X be a random variable following binomial distribution with parameters n = 6 and p = k Further, 9P(X = 4) = P(X = 2) .

What is the value of k?

1/2

1/3

1/4

1/5

NDA Mathematics 13 April 2025

MCQ (Single Correct Answer)

+2.5

-0.833

Consider the following for the two (02) items that follow:
Let X be a random variable following binomial distribution with parameters n = 6 and p = k Further, 9P(X = 4) = P(X = 2) .

What is the value of P * (X = 3) ^ 0

135/1024

5/128

45/1024

70/1024

NDA Mathematics 13 April 2025

MCQ (Single Correct Answer)

+2.5

-0.833

Consider the following for the two (02) items that follow:
A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies.

What is the probability that the committee includes exactly 3 gentlemen?

10/33

30/77

100/231

5/11

NDA Mathematics 13 April 2025

MCQ (Single Correct Answer)

+2.5

-0.833

Consider the following for the two (02) items that follow:
A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies.

What is the probability that the committee includes at least 2 ladies?

41/66

47/66

49/66

53/66

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