NDA_Math_2025_Q97

Question:

What is the value of k?

What is the value of k?

Options:

  • a) 1 2
  • b) 1 3
  • c) 1 4
  • d) 1 5
  • a) 1 2
  • b) 1 3
  • c) 1 4
  • d) 1 5

correct answer : c)

Explanation:

n = 6, p = k Þ q = 1 – k
Now, 9.P(X = 4) = P(X = 2)
9.6C4k4(1 – k)2 = 6C2k2(1 – k)4
9k2 = (1 – k)2 ( 6C4 = 6C2)
3k = 1 – k Þ k = 1
4

n = 6, p = k Þ q = 1 – k
Now, 9.P(X = 4) = P(X = 2)
9.6C4k4(1 – k)2 = 6C2k2(1 – k)4
9k2 = (1 – k)2 ( 6C4 = 6C2)
3k = 1 – k Þ k = 1
4

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